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Finding the Third Proportional to 52,753.78 and 74,289.66

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Solution

The third proportional to 52,753.78 and 74,289.66 is: 104,617.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,753.78 : 74,289.66 = 74,289.66 : x
  2. Step 2: Convert to fraction form
    52,753.78/74,289.66 = 74,289.66/x
  3. Step 3: Cross multiply
    52,753.78x = 74,289.66 × 74,289.66
  4. Step 4: Simplify right side
    52,753.78x = 5,518,953,025.74
  5. Step 5: Solve for x
    x = 5,518,953,025.74/52,753.78
  6. Step 6: Final answer
    x = 104,617.20

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.