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Finding the Third Proportional to 40,473 and 61,273.50

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Solution

The third proportional to 40,473 and 61,273.50 is: 92,764.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,473 : 61,273.50 = 61,273.50 : x
  2. Step 2: Convert to fraction form
    40,473/61,273.50 = 61,273.50/x
  3. Step 3: Cross multiply
    40,473x = 61,273.50 × 61,273.50
  4. Step 4: Simplify right side
    40,473x = 3,754,441,802.25
  5. Step 5: Solve for x
    x = 3,754,441,802.25/40,473
  6. Step 6: Final answer
    x = 92,764.11

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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.