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Finding the Third Proportional to 7,341.61 and 11,044.90

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Solution

The third proportional to 7,341.61 and 11,044.90 is: 16,616.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,341.61 : 11,044.90 = 11,044.90 : x
  2. Step 2: Convert to fraction form
    7,341.61/11,044.90 = 11,044.90/x
  3. Step 3: Cross multiply
    7,341.61x = 11,044.90 × 11,044.90
  4. Step 4: Simplify right side
    7,341.61x = 121,989,781.49
  5. Step 5: Solve for x
    x = 121,989,781.49/7,341.61
  6. Step 6: Final answer
    x = 16,616.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.