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Finding the Third Proportional to 32,473 and 69,619

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Solution

The third proportional to 32,473 and 69,619 is: 149,256.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,473 : 69,619 = 69,619 : x
  2. Step 2: Convert to fraction form
    32,473/69,619 = 69,619/x
  3. Step 3: Cross multiply
    32,473x = 69,619 × 69,619
  4. Step 4: Simplify right side
    32,473x = 4,846,805,161
  5. Step 5: Solve for x
    x = 4,846,805,161/32,473
  6. Step 6: Final answer
    x = 149,256.46

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.