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Finding the Third Proportional to 3,697.88 and 7,988.63

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Solution

The third proportional to 3,697.88 and 7,988.63 is: 17,258.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,697.88 : 7,988.63 = 7,988.63 : x
  2. Step 2: Convert to fraction form
    3,697.88/7,988.63 = 7,988.63/x
  3. Step 3: Cross multiply
    3,697.88x = 7,988.63 × 7,988.63
  4. Step 4: Simplify right side
    3,697.88x = 63,818,129.39
  5. Step 5: Solve for x
    x = 63,818,129.39/3,697.88
  6. Step 6: Final answer
    x = 17,258.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.