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Finding the Third Proportional to 11,658.50 and 25,160

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Solution

The third proportional to 11,658.50 and 25,160 is: 54,297.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,658.50 : 25,160 = 25,160 : x
  2. Step 2: Convert to fraction form
    11,658.50/25,160 = 25,160/x
  3. Step 3: Cross multiply
    11,658.50x = 25,160 × 25,160
  4. Step 4: Simplify right side
    11,658.50x = 633,025,600
  5. Step 5: Solve for x
    x = 633,025,600/11,658.50
  6. Step 6: Final answer
    x = 54,297.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.