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Finding the Third Proportional to 5,649.75 and 9,978.19

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Solution

The third proportional to 5,649.75 and 9,978.19 is: 17,622.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,649.75 : 9,978.19 = 9,978.19 : x
  2. Step 2: Convert to fraction form
    5,649.75/9,978.19 = 9,978.19/x
  3. Step 3: Cross multiply
    5,649.75x = 9,978.19 × 9,978.19
  4. Step 4: Simplify right side
    5,649.75x = 99,564,225.79
  5. Step 5: Solve for x
    x = 99,564,225.79/5,649.75
  6. Step 6: Final answer
    x = 17,622.77

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.