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Finding the Third Proportional to 10,188.91 and 15,929.79

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Solution

The third proportional to 10,188.91 and 15,929.79 is: 24,905.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,188.91 : 15,929.79 = 15,929.79 : x
  2. Step 2: Convert to fraction form
    10,188.91/15,929.79 = 15,929.79/x
  3. Step 3: Cross multiply
    10,188.91x = 15,929.79 × 15,929.79
  4. Step 4: Simplify right side
    10,188.91x = 253,758,179.58
  5. Step 5: Solve for x
    x = 253,758,179.58/10,188.91
  6. Step 6: Final answer
    x = 24,905.32

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.