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Finding the Third Proportional to 15,291.28 and 22,346.86

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Solution

The third proportional to 15,291.28 and 22,346.86 is: 32,657.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,291.28 : 22,346.86 = 22,346.86 : x
  2. Step 2: Convert to fraction form
    15,291.28/22,346.86 = 22,346.86/x
  3. Step 3: Cross multiply
    15,291.28x = 22,346.86 × 22,346.86
  4. Step 4: Simplify right side
    15,291.28x = 499,382,123.93
  5. Step 5: Solve for x
    x = 499,382,123.93/15,291.28
  6. Step 6: Final answer
    x = 32,657.96

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.