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Finding the Third Proportional to 15,601.50 and 23,418

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Solution

The third proportional to 15,601.50 and 23,418 is: 35,150.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,601.50 : 23,418 = 23,418 : x
  2. Step 2: Convert to fraction form
    15,601.50/23,418 = 23,418/x
  3. Step 3: Cross multiply
    15,601.50x = 23,418 × 23,418
  4. Step 4: Simplify right side
    15,601.50x = 548,402,724
  5. Step 5: Solve for x
    x = 548,402,724/15,601.50
  6. Step 6: Final answer
    x = 35,150.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.