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Finding the Third Proportional to 15,372 and 22,511.25

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Solution

The third proportional to 15,372 and 22,511.25 is: 32,966.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,372 : 22,511.25 = 22,511.25 : x
  2. Step 2: Convert to fraction form
    15,372/22,511.25 = 22,511.25/x
  3. Step 3: Cross multiply
    15,372x = 22,511.25 × 22,511.25
  4. Step 4: Simplify right side
    15,372x = 506,756,376.56
  5. Step 5: Solve for x
    x = 506,756,376.56/15,372
  6. Step 6: Final answer
    x = 32,966.20

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.