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Finding the Third Proportional to 44,389 and 67,045

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Solution

The third proportional to 44,389 and 67,045 is: 101,264.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,389 : 67,045 = 67,045 : x
  2. Step 2: Convert to fraction form
    44,389/67,045 = 67,045/x
  3. Step 3: Cross multiply
    44,389x = 67,045 × 67,045
  4. Step 4: Simplify right side
    44,389x = 4,495,032,025
  5. Step 5: Solve for x
    x = 4,495,032,025/44,389
  6. Step 6: Final answer
    x = 101,264.55

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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.