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Finding the Third Proportional to 8,987.20 and 19,614.66

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Solution

The third proportional to 8,987.20 and 19,614.66 is: 42,809.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,987.20 : 19,614.66 = 19,614.66 : x
  2. Step 2: Convert to fraction form
    8,987.20/19,614.66 = 19,614.66/x
  3. Step 3: Cross multiply
    8,987.20x = 19,614.66 × 19,614.66
  4. Step 4: Simplify right side
    8,987.20x = 384,734,739.81
  5. Step 5: Solve for x
    x = 384,734,739.81/8,987.20
  6. Step 6: Final answer
    x = 42,809.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.