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Finding the Third Proportional to 7,981.88 and 17,053.88

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Solution

The third proportional to 7,981.88 and 17,053.88 is: 36,436.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,981.88 : 17,053.88 = 17,053.88 : x
  2. Step 2: Convert to fraction form
    7,981.88/17,053.88 = 17,053.88/x
  3. Step 3: Cross multiply
    7,981.88x = 17,053.88 × 17,053.88
  4. Step 4: Simplify right side
    7,981.88x = 290,834,652.52
  5. Step 5: Solve for x
    x = 290,834,652.52/7,981.88
  6. Step 6: Final answer
    x = 36,436.88

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.