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Finding the Third Proportional to 12,309.47 and 26,092.13

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Solution

The third proportional to 12,309.47 and 26,092.13 is: 55,306.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,309.47 : 26,092.13 = 26,092.13 : x
  2. Step 2: Convert to fraction form
    12,309.47/26,092.13 = 26,092.13/x
  3. Step 3: Cross multiply
    12,309.47x = 26,092.13 × 26,092.13
  4. Step 4: Simplify right side
    12,309.47x = 680,798,987.02
  5. Step 5: Solve for x
    x = 680,798,987.02/12,309.47
  6. Step 6: Final answer
    x = 55,306.93

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.