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Finding the Third Proportional to 6,005.71 and 9,649.28

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Solution

The third proportional to 6,005.71 and 9,649.28 is: 15,503.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,005.71 : 9,649.28 = 9,649.28 : x
  2. Step 2: Convert to fraction form
    6,005.71/9,649.28 = 9,649.28/x
  3. Step 3: Cross multiply
    6,005.71x = 9,649.28 × 9,649.28
  4. Step 4: Simplify right side
    6,005.71x = 93,108,666.33
  5. Step 5: Solve for x
    x = 93,108,666.33/6,005.71
  6. Step 6: Final answer
    x = 15,503.36

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.