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Finding the Third Proportional to 32,459 and 49,040

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Solution

The third proportional to 32,459 and 49,040 is: 74,091.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,459 : 49,040 = 49,040 : x
  2. Step 2: Convert to fraction form
    32,459/49,040 = 49,040/x
  3. Step 3: Cross multiply
    32,459x = 49,040 × 49,040
  4. Step 4: Simplify right side
    32,459x = 2,404,921,600
  5. Step 5: Solve for x
    x = 2,404,921,600/32,459
  6. Step 6: Final answer
    x = 74,091.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.