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Finding the Third Proportional to 15,172.31 and 23,031.84

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Solution

The third proportional to 15,172.31 and 23,031.84 is: 34,962.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,172.31 : 23,031.84 = 23,031.84 : x
  2. Step 2: Convert to fraction form
    15,172.31/23,031.84 = 23,031.84/x
  3. Step 3: Cross multiply
    15,172.31x = 23,031.84 × 23,031.84
  4. Step 4: Simplify right side
    15,172.31x = 530,465,826.52
  5. Step 5: Solve for x
    x = 530,465,826.52/15,172.31
  6. Step 6: Final answer
    x = 34,962.75

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.