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Finding the Third Proportional to 44,017 and 95,047

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Solution

The third proportional to 44,017 and 95,047 is: 205,237.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,017 : 95,047 = 95,047 : x
  2. Step 2: Convert to fraction form
    44,017/95,047 = 95,047/x
  3. Step 3: Cross multiply
    44,017x = 95,047 × 95,047
  4. Step 4: Simplify right side
    44,017x = 9,033,932,209
  5. Step 5: Solve for x
    x = 9,033,932,209/44,017
  6. Step 6: Final answer
    x = 205,237.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.