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Finding the Third Proportional to 4,117.50 and 9,718.88

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Solution

The third proportional to 4,117.50 and 9,718.88 is: 22,940.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,117.50 : 9,718.88 = 9,718.88 : x
  2. Step 2: Convert to fraction form
    4,117.50/9,718.88 = 9,718.88/x
  3. Step 3: Cross multiply
    4,117.50x = 9,718.88 × 9,718.88
  4. Step 4: Simplify right side
    4,117.50x = 94,456,531.27
  5. Step 5: Solve for x
    x = 94,456,531.27/4,117.50
  6. Step 6: Final answer
    x = 22,940.26

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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.