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Finding the Third Proportional to 34,465.13 and 74,655.75

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Solution

The third proportional to 34,465.13 and 74,655.75 is: 161,713.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,465.13 : 74,655.75 = 74,655.75 : x
  2. Step 2: Convert to fraction form
    34,465.13/74,655.75 = 74,655.75/x
  3. Step 3: Cross multiply
    34,465.13x = 74,655.75 × 74,655.75
  4. Step 4: Simplify right side
    34,465.13x = 5,573,481,008.06
  5. Step 5: Solve for x
    x = 5,573,481,008.06/34,465.13
  6. Step 6: Final answer
    x = 161,713.65

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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.