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Finding the Third Proportional to 40,734.50 and 61,363

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Solution

The third proportional to 40,734.50 and 61,363 is: 92,438.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,734.50 : 61,363 = 61,363 : x
  2. Step 2: Convert to fraction form
    40,734.50/61,363 = 61,363/x
  3. Step 3: Cross multiply
    40,734.50x = 61,363 × 61,363
  4. Step 4: Simplify right side
    40,734.50x = 3,765,417,769
  5. Step 5: Solve for x
    x = 3,765,417,769/40,734.50
  6. Step 6: Final answer
    x = 92,438.05

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.