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Finding the Third Proportional to 5,988.66 and 13,987.69

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Solution

The third proportional to 5,988.66 and 13,987.69 is: 32,671.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,988.66 : 13,987.69 = 13,987.69 : x
  2. Step 2: Convert to fraction form
    5,988.66/13,987.69 = 13,987.69/x
  3. Step 3: Cross multiply
    5,988.66x = 13,987.69 × 13,987.69
  4. Step 4: Simplify right side
    5,988.66x = 195,655,401.60
  5. Step 5: Solve for x
    x = 195,655,401.60/5,988.66
  6. Step 6: Final answer
    x = 32,671.00

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.