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Finding the Third Proportional to 44,643 and 67,540

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Solution

The third proportional to 44,643 and 67,540 is: 102,180.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,643 : 67,540 = 67,540 : x
  2. Step 2: Convert to fraction form
    44,643/67,540 = 67,540/x
  3. Step 3: Cross multiply
    44,643x = 67,540 × 67,540
  4. Step 4: Simplify right side
    44,643x = 4,561,651,600
  5. Step 5: Solve for x
    x = 4,561,651,600/44,643
  6. Step 6: Final answer
    x = 102,180.67

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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.