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Finding the Third Proportional to 10,031.34 and 15,601.36

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Solution

The third proportional to 10,031.34 and 15,601.36 is: 24,264.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,031.34 : 15,601.36 = 15,601.36 : x
  2. Step 2: Convert to fraction form
    10,031.34/15,601.36 = 15,601.36/x
  3. Step 3: Cross multiply
    10,031.34x = 15,601.36 × 15,601.36
  4. Step 4: Simplify right side
    10,031.34x = 243,402,414.35
  5. Step 5: Solve for x
    x = 243,402,414.35/10,031.34
  6. Step 6: Final answer
    x = 24,264.19

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.