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Finding the Third Proportional to 4,117.50 and 9,715.50

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Solution

The third proportional to 4,117.50 and 9,715.50 is: 22,924.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,117.50 : 9,715.50 = 9,715.50 : x
  2. Step 2: Convert to fraction form
    4,117.50/9,715.50 = 9,715.50/x
  3. Step 3: Cross multiply
    4,117.50x = 9,715.50 × 9,715.50
  4. Step 4: Simplify right side
    4,117.50x = 94,390,940.25
  5. Step 5: Solve for x
    x = 94,390,940.25/4,117.50
  6. Step 6: Final answer
    x = 22,924.33

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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.