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Finding the Third Proportional to 10,031.06 and 15,594.47

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Solution

The third proportional to 10,031.06 and 15,594.47 is: 24,243.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,031.06 : 15,594.47 = 15,594.47 : x
  2. Step 2: Convert to fraction form
    10,031.06/15,594.47 = 15,594.47/x
  3. Step 3: Cross multiply
    10,031.06x = 15,594.47 × 15,594.47
  4. Step 4: Simplify right side
    10,031.06x = 243,187,455.59
  5. Step 5: Solve for x
    x = 243,187,455.59/10,031.06
  6. Step 6: Final answer
    x = 24,243.44

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.