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Finding the Third Proportional to 24,706.50 and 58,299

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Solution

The third proportional to 24,706.50 and 58,299 is: 137,565.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,706.50 : 58,299 = 58,299 : x
  2. Step 2: Convert to fraction form
    24,706.50/58,299 = 58,299/x
  3. Step 3: Cross multiply
    24,706.50x = 58,299 × 58,299
  4. Step 4: Simplify right side
    24,706.50x = 3,398,773,401
  5. Step 5: Solve for x
    x = 3,398,773,401/24,706.50
  6. Step 6: Final answer
    x = 137,565.96

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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.