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Finding the Third Proportional to 34,998 and 47,151

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Solution

The third proportional to 34,998 and 47,151 is: 63,524.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,998 : 47,151 = 47,151 : x
  2. Step 2: Convert to fraction form
    34,998/47,151 = 47,151/x
  3. Step 3: Cross multiply
    34,998x = 47,151 × 47,151
  4. Step 4: Simplify right side
    34,998x = 2,223,216,801
  5. Step 5: Solve for x
    x = 2,223,216,801/34,998
  6. Step 6: Final answer
    x = 63,524.11

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.