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Finding the Third Proportional to 5,434 and 12,532

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Solution

The third proportional to 5,434 and 12,532 is: 28,901.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,434 : 12,532 = 12,532 : x
  2. Step 2: Convert to fraction form
    5,434/12,532 = 12,532/x
  3. Step 3: Cross multiply
    5,434x = 12,532 × 12,532
  4. Step 4: Simplify right side
    5,434x = 157,051,024
  5. Step 5: Solve for x
    x = 157,051,024/5,434
  6. Step 6: Final answer
    x = 28,901.55

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.