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Finding the Third Proportional to 5,156.16 and 11,337.47

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Solution

The third proportional to 5,156.16 and 11,337.47 is: 24,929.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,156.16 : 11,337.47 = 11,337.47 : x
  2. Step 2: Convert to fraction form
    5,156.16/11,337.47 = 11,337.47/x
  3. Step 3: Cross multiply
    5,156.16x = 11,337.47 × 11,337.47
  4. Step 4: Simplify right side
    5,156.16x = 128,538,197.66
  5. Step 5: Solve for x
    x = 128,538,197.66/5,156.16
  6. Step 6: Final answer
    x = 24,929.07

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.