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Finding the Third Proportional to 32,472 and 50,076

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Solution

The third proportional to 32,472 and 50,076 is: 77,223.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,472 : 50,076 = 50,076 : x
  2. Step 2: Convert to fraction form
    32,472/50,076 = 50,076/x
  3. Step 3: Cross multiply
    32,472x = 50,076 × 50,076
  4. Step 4: Simplify right side
    32,472x = 2,507,605,776
  5. Step 5: Solve for x
    x = 2,507,605,776/32,472
  6. Step 6: Final answer
    x = 77,223.63

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.