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Finding the Third Proportional to 28,434 and 62,052

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Solution

The third proportional to 28,434 and 62,052 is: 135,417.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,434 : 62,052 = 62,052 : x
  2. Step 2: Convert to fraction form
    28,434/62,052 = 62,052/x
  3. Step 3: Cross multiply
    28,434x = 62,052 × 62,052
  4. Step 4: Simplify right side
    28,434x = 3,850,450,704
  5. Step 5: Solve for x
    x = 3,850,450,704/28,434
  6. Step 6: Final answer
    x = 135,417.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.