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Finding the Third Proportional to 17,700.19 and 38,507.06

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Solution

The third proportional to 17,700.19 and 38,507.06 is: 83,772.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,700.19 : 38,507.06 = 38,507.06 : x
  2. Step 2: Convert to fraction form
    17,700.19/38,507.06 = 38,507.06/x
  3. Step 3: Cross multiply
    17,700.19x = 38,507.06 × 38,507.06
  4. Step 4: Simplify right side
    17,700.19x = 1,482,793,862.38
  5. Step 5: Solve for x
    x = 1,482,793,862.38/17,700.19
  6. Step 6: Final answer
    x = 83,772.78

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.