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Finding the Third Proportional to 48,442.50 and 70,746.75

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Solution

The third proportional to 48,442.50 and 70,746.75 is: 103,320.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,442.50 : 70,746.75 = 70,746.75 : x
  2. Step 2: Convert to fraction form
    48,442.50/70,746.75 = 70,746.75/x
  3. Step 3: Cross multiply
    48,442.50x = 70,746.75 × 70,746.75
  4. Step 4: Simplify right side
    48,442.50x = 5,005,102,635.56
  5. Step 5: Solve for x
    x = 5,005,102,635.56/48,442.50
  6. Step 6: Final answer
    x = 103,320.49

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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.