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Finding the Third Proportional to 38,259 and 59,384.25

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Solution

The third proportional to 38,259 and 59,384.25 is: 92,174.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,259 : 59,384.25 = 59,384.25 : x
  2. Step 2: Convert to fraction form
    38,259/59,384.25 = 59,384.25/x
  3. Step 3: Cross multiply
    38,259x = 59,384.25 × 59,384.25
  4. Step 4: Simplify right side
    38,259x = 3,526,489,148.06
  5. Step 5: Solve for x
    x = 3,526,489,148.06/38,259
  6. Step 6: Final answer
    x = 92,174.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.