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Finding the Third Proportional to 28,524 and 48,114

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Solution

The third proportional to 28,524 and 48,114 is: 81,158.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,524 : 48,114 = 48,114 : x
  2. Step 2: Convert to fraction form
    28,524/48,114 = 48,114/x
  3. Step 3: Cross multiply
    28,524x = 48,114 × 48,114
  4. Step 4: Simplify right side
    28,524x = 2,314,956,996
  5. Step 5: Solve for x
    x = 2,314,956,996/28,524
  6. Step 6: Final answer
    x = 81,158.22

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Why These Related Problems?

These problems maintain the same ratio (1.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.