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Finding the Third Proportional to 34,317.75 and 74,426.25

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Solution

The third proportional to 34,317.75 and 74,426.25 is: 161,411.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,317.75 : 74,426.25 = 74,426.25 : x
  2. Step 2: Convert to fraction form
    34,317.75/74,426.25 = 74,426.25/x
  3. Step 3: Cross multiply
    34,317.75x = 74,426.25 × 74,426.25
  4. Step 4: Simplify right side
    34,317.75x = 5,539,266,689.06
  5. Step 5: Solve for x
    x = 5,539,266,689.06/34,317.75
  6. Step 6: Final answer
    x = 161,411.13

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.