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Finding the Third Proportional to 50,802.50 and 75,469

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Solution

The third proportional to 50,802.50 and 75,469 is: 112,112.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,802.50 : 75,469 = 75,469 : x
  2. Step 2: Convert to fraction form
    50,802.50/75,469 = 75,469/x
  3. Step 3: Cross multiply
    50,802.50x = 75,469 × 75,469
  4. Step 4: Simplify right side
    50,802.50x = 5,695,569,961
  5. Step 5: Solve for x
    x = 5,695,569,961/50,802.50
  6. Step 6: Final answer
    x = 112,112.00

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.