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Finding the Third Proportional to 32,431 and 49,310

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Solution

The third proportional to 32,431 and 49,310 is: 74,973.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,431 : 49,310 = 49,310 : x
  2. Step 2: Convert to fraction form
    32,431/49,310 = 49,310/x
  3. Step 3: Cross multiply
    32,431x = 49,310 × 49,310
  4. Step 4: Simplify right side
    32,431x = 2,431,476,100
  5. Step 5: Solve for x
    x = 2,431,476,100/32,431
  6. Step 6: Final answer
    x = 74,973.82

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.