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Finding the Third Proportional to 15,726.66 and 34,213.64

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Solution

The third proportional to 15,726.66 and 34,213.64 is: 74,432.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,726.66 : 34,213.64 = 34,213.64 : x
  2. Step 2: Convert to fraction form
    15,726.66/34,213.64 = 34,213.64/x
  3. Step 3: Cross multiply
    15,726.66x = 34,213.64 × 34,213.64
  4. Step 4: Simplify right side
    15,726.66x = 1,170,573,204.82
  5. Step 5: Solve for x
    x = 1,170,573,204.82/15,726.66
  6. Step 6: Final answer
    x = 74,432.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.