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Finding the Third Proportional to 48,424.50 and 70,709.63

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Solution

The third proportional to 48,424.50 and 70,709.63 is: 103,250.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,424.50 : 70,709.63 = 70,709.63 : x
  2. Step 2: Convert to fraction form
    48,424.50/70,709.63 = 70,709.63/x
  3. Step 3: Cross multiply
    48,424.50x = 70,709.63 × 70,709.63
  4. Step 4: Simplify right side
    48,424.50x = 4,999,851,067.64
  5. Step 5: Solve for x
    x = 4,999,851,067.64/48,424.50
  6. Step 6: Final answer
    x = 103,250.44

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.