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Finding the Third Proportional to 44,643 and 71,777

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Solution

The third proportional to 44,643 and 71,777 is: 115,403.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,643 : 71,777 = 71,777 : x
  2. Step 2: Convert to fraction form
    44,643/71,777 = 71,777/x
  3. Step 3: Cross multiply
    44,643x = 71,777 × 71,777
  4. Step 4: Simplify right side
    44,643x = 5,151,937,729
  5. Step 5: Solve for x
    x = 5,151,937,729/44,643
  6. Step 6: Final answer
    x = 115,403.04

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.