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Finding the Third Proportional to 32,643 and 69,552

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Solution

The third proportional to 32,643 and 69,552 is: 148,193.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,643 : 69,552 = 69,552 : x
  2. Step 2: Convert to fraction form
    32,643/69,552 = 69,552/x
  3. Step 3: Cross multiply
    32,643x = 69,552 × 69,552
  4. Step 4: Simplify right side
    32,643x = 4,837,480,704
  5. Step 5: Solve for x
    x = 4,837,480,704/32,643
  6. Step 6: Final answer
    x = 148,193.51

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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.