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Finding the Third Proportional to 10,507.85 and 15,838.66

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Solution

The third proportional to 10,507.85 and 15,838.66 is: 23,873.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,507.85 : 15,838.66 = 15,838.66 : x
  2. Step 2: Convert to fraction form
    10,507.85/15,838.66 = 15,838.66/x
  3. Step 3: Cross multiply
    10,507.85x = 15,838.66 × 15,838.66
  4. Step 4: Simplify right side
    10,507.85x = 250,863,279.28
  5. Step 5: Solve for x
    x = 250,863,279.28/10,507.85
  6. Step 6: Final answer
    x = 23,873.89

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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.