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Finding the Third Proportional to 40,602 and 60,735

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Solution

The third proportional to 40,602 and 60,735 is: 90,851.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,602 : 60,735 = 60,735 : x
  2. Step 2: Convert to fraction form
    40,602/60,735 = 60,735/x
  3. Step 3: Cross multiply
    40,602x = 60,735 × 60,735
  4. Step 4: Simplify right side
    40,602x = 3,688,740,225
  5. Step 5: Solve for x
    x = 3,688,740,225/40,602
  6. Step 6: Final answer
    x = 90,851.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.