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Finding the Third Proportional to 38,243 and 58,337

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Solution

The third proportional to 38,243 and 58,337 is: 88,988.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,243 : 58,337 = 58,337 : x
  2. Step 2: Convert to fraction form
    38,243/58,337 = 58,337/x
  3. Step 3: Cross multiply
    38,243x = 58,337 × 58,337
  4. Step 4: Simplify right side
    38,243x = 3,403,205,569
  5. Step 5: Solve for x
    x = 3,403,205,569/38,243
  6. Step 6: Final answer
    x = 88,988.98

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.