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Finding the Third Proportional to 39,536 and 93,329

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Solution

The third proportional to 39,536 and 93,329 is: 220,313.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,536 : 93,329 = 93,329 : x
  2. Step 2: Convert to fraction form
    39,536/93,329 = 93,329/x
  3. Step 3: Cross multiply
    39,536x = 93,329 × 93,329
  4. Step 4: Simplify right side
    39,536x = 8,710,302,241
  5. Step 5: Solve for x
    x = 8,710,302,241/39,536
  6. Step 6: Final answer
    x = 220,313.19

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.