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Finding the Third Proportional to 4,360.50 and 9,421.13

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Solution

The third proportional to 4,360.50 and 9,421.13 is: 20,354.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,360.50 : 9,421.13 = 9,421.13 : x
  2. Step 2: Convert to fraction form
    4,360.50/9,421.13 = 9,421.13/x
  3. Step 3: Cross multiply
    4,360.50x = 9,421.13 × 9,421.13
  4. Step 4: Simplify right side
    4,360.50x = 88,757,596.27
  5. Step 5: Solve for x
    x = 88,757,596.27/4,360.50
  6. Step 6: Final answer
    x = 20,354.91

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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.