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Finding the Third Proportional to 15,157 and 32,419

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Solution

The third proportional to 15,157 and 32,419 is: 69,340.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,157 : 32,419 = 32,419 : x
  2. Step 2: Convert to fraction form
    15,157/32,419 = 32,419/x
  3. Step 3: Cross multiply
    15,157x = 32,419 × 32,419
  4. Step 4: Simplify right side
    15,157x = 1,050,991,561
  5. Step 5: Solve for x
    x = 1,050,991,561/15,157
  6. Step 6: Final answer
    x = 69,340.34

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.