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Finding the Third Proportional to 29,241 and 38,758.50

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Solution

The third proportional to 29,241 and 38,758.50 is: 51,373.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,241 : 38,758.50 = 38,758.50 : x
  2. Step 2: Convert to fraction form
    29,241/38,758.50 = 38,758.50/x
  3. Step 3: Cross multiply
    29,241x = 38,758.50 × 38,758.50
  4. Step 4: Simplify right side
    29,241x = 1,502,221,322.25
  5. Step 5: Solve for x
    x = 1,502,221,322.25/29,241
  6. Step 6: Final answer
    x = 51,373.80

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.