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Finding the Third Proportional to 50,130.14 and 56,691.14

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Solution

The third proportional to 50,130.14 and 56,691.14 is: 64,110.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,130.14 : 56,691.14 = 56,691.14 : x
  2. Step 2: Convert to fraction form
    50,130.14/56,691.14 = 56,691.14/x
  3. Step 3: Cross multiply
    50,130.14x = 56,691.14 × 56,691.14
  4. Step 4: Simplify right side
    50,130.14x = 3,213,885,425.36
  5. Step 5: Solve for x
    x = 3,213,885,425.36/50,130.14
  6. Step 6: Final answer
    x = 64,110.84

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.