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Finding the Third Proportional to 52,866 and 72,007

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Solution

The third proportional to 52,866 and 72,007 is: 98,078.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,866 : 72,007 = 72,007 : x
  2. Step 2: Convert to fraction form
    52,866/72,007 = 72,007/x
  3. Step 3: Cross multiply
    52,866x = 72,007 × 72,007
  4. Step 4: Simplify right side
    52,866x = 5,185,008,049
  5. Step 5: Solve for x
    x = 5,185,008,049/52,866
  6. Step 6: Final answer
    x = 98,078.31

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.