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Finding the Third Proportional to 5,031.49 and 10,927.88

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Solution

The third proportional to 5,031.49 and 10,927.88 is: 23,734.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,031.49 : 10,927.88 = 10,927.88 : x
  2. Step 2: Convert to fraction form
    5,031.49/10,927.88 = 10,927.88/x
  3. Step 3: Cross multiply
    5,031.49x = 10,927.88 × 10,927.88
  4. Step 4: Simplify right side
    5,031.49x = 119,418,580.08
  5. Step 5: Solve for x
    x = 119,418,580.08/5,031.49
  6. Step 6: Final answer
    x = 23,734.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.