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Finding the Third Proportional to 32,434 and 69,052

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Solution

The third proportional to 32,434 and 69,052 is: 147,011.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,434 : 69,052 = 69,052 : x
  2. Step 2: Convert to fraction form
    32,434/69,052 = 69,052/x
  3. Step 3: Cross multiply
    32,434x = 69,052 × 69,052
  4. Step 4: Simplify right side
    32,434x = 4,768,178,704
  5. Step 5: Solve for x
    x = 4,768,178,704/32,434
  6. Step 6: Final answer
    x = 147,011.74

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.