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Finding the Third Proportional to 10,695.38 and 17,020.13

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Solution

The third proportional to 10,695.38 and 17,020.13 is: 27,085.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,695.38 : 17,020.13 = 17,020.13 : x
  2. Step 2: Convert to fraction form
    10,695.38/17,020.13 = 17,020.13/x
  3. Step 3: Cross multiply
    10,695.38x = 17,020.13 × 17,020.13
  4. Step 4: Simplify right side
    10,695.38x = 289,684,655.02
  5. Step 5: Solve for x
    x = 289,684,655.02/10,695.38
  6. Step 6: Final answer
    x = 27,085.04

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.