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Finding the Third Proportional to 48,462 and 70,813.13

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Solution

The third proportional to 48,462 and 70,813.13 is: 103,472.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,462 : 70,813.13 = 70,813.13 : x
  2. Step 2: Convert to fraction form
    48,462/70,813.13 = 70,813.13/x
  3. Step 3: Cross multiply
    48,462x = 70,813.13 × 70,813.13
  4. Step 4: Simplify right side
    48,462x = 5,014,498,672.27
  5. Step 5: Solve for x
    x = 5,014,498,672.27/48,462
  6. Step 6: Final answer
    x = 103,472.80

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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.