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Finding the Third Proportional to 44,390 and 67,044

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Solution

The third proportional to 44,390 and 67,044 is: 101,259.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,390 : 67,044 = 67,044 : x
  2. Step 2: Convert to fraction form
    44,390/67,044 = 67,044/x
  3. Step 3: Cross multiply
    44,390x = 67,044 × 67,044
  4. Step 4: Simplify right side
    44,390x = 4,494,897,936
  5. Step 5: Solve for x
    x = 4,494,897,936/44,390
  6. Step 6: Final answer
    x = 101,259.25

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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.