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Finding the Third Proportional to 5,726.64 and 9,417.20

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Solution

The third proportional to 5,726.64 and 9,417.20 is: 15,486.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,726.64 : 9,417.20 = 9,417.20 : x
  2. Step 2: Convert to fraction form
    5,726.64/9,417.20 = 9,417.20/x
  3. Step 3: Cross multiply
    5,726.64x = 9,417.20 × 9,417.20
  4. Step 4: Simplify right side
    5,726.64x = 88,683,641.13
  5. Step 5: Solve for x
    x = 88,683,641.13/5,726.64
  6. Step 6: Final answer
    x = 15,486.17

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.