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Finding the Third Proportional to 8,710.19 and 13,146.91

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Solution

The third proportional to 8,710.19 and 13,146.91 is: 19,843.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,710.19 : 13,146.91 = 13,146.91 : x
  2. Step 2: Convert to fraction form
    8,710.19/13,146.91 = 13,146.91/x
  3. Step 3: Cross multiply
    8,710.19x = 13,146.91 × 13,146.91
  4. Step 4: Simplify right side
    8,710.19x = 172,841,143.95
  5. Step 5: Solve for x
    x = 172,841,143.95/8,710.19
  6. Step 6: Final answer
    x = 19,843.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.