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Finding the Third Proportional to 38,296.13 and 56,156.63

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Solution

The third proportional to 38,296.13 and 56,156.63 is: 82,346.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,296.13 : 56,156.63 = 56,156.63 : x
  2. Step 2: Convert to fraction form
    38,296.13/56,156.63 = 56,156.63/x
  3. Step 3: Cross multiply
    38,296.13x = 56,156.63 × 56,156.63
  4. Step 4: Simplify right side
    38,296.13x = 3,153,566,531.39
  5. Step 5: Solve for x
    x = 3,153,566,531.39/38,296.13
  6. Step 6: Final answer
    x = 82,346.88

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.