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Finding the Third Proportional to 34,729.25 and 53,810

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Solution

The third proportional to 34,729.25 and 53,810 is: 83,373.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,729.25 : 53,810 = 53,810 : x
  2. Step 2: Convert to fraction form
    34,729.25/53,810 = 53,810/x
  3. Step 3: Cross multiply
    34,729.25x = 53,810 × 53,810
  4. Step 4: Simplify right side
    34,729.25x = 2,895,516,100
  5. Step 5: Solve for x
    x = 2,895,516,100/34,729.25
  6. Step 6: Final answer
    x = 83,373.99

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.