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Finding the Third Proportional to 10,702.13 and 17,359.31

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Solution

The third proportional to 10,702.13 and 17,359.31 is: 28,157.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,702.13 : 17,359.31 = 17,359.31 : x
  2. Step 2: Convert to fraction form
    10,702.13/17,359.31 = 17,359.31/x
  3. Step 3: Cross multiply
    10,702.13x = 17,359.31 × 17,359.31
  4. Step 4: Simplify right side
    10,702.13x = 301,345,730.47
  5. Step 5: Solve for x
    x = 301,345,730.47/10,702.13
  6. Step 6: Final answer
    x = 28,157.56

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These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.