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Finding the Third Proportional to 10,702.97 and 17,045.16

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Solution

The third proportional to 10,702.97 and 17,045.16 is: 27,145.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,702.97 : 17,045.16 = 17,045.16 : x
  2. Step 2: Convert to fraction form
    10,702.97/17,045.16 = 17,045.16/x
  3. Step 3: Cross multiply
    10,702.97x = 17,045.16 × 17,045.16
  4. Step 4: Simplify right side
    10,702.97x = 290,537,351.59
  5. Step 5: Solve for x
    x = 290,537,351.59/10,702.97
  6. Step 6: Final answer
    x = 27,145.49

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Why These Related Problems?

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