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Finding the Third Proportional to 4,329.70 and 9,417.52

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Solution

The third proportional to 4,329.70 and 9,417.52 is: 20,483.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,329.70 : 9,417.52 = 9,417.52 : x
  2. Step 2: Convert to fraction form
    4,329.70/9,417.52 = 9,417.52/x
  3. Step 3: Cross multiply
    4,329.70x = 9,417.52 × 9,417.52
  4. Step 4: Simplify right side
    4,329.70x = 88,689,600.55
  5. Step 5: Solve for x
    x = 88,689,600.55/4,329.70
  6. Step 6: Final answer
    x = 20,483.99

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.