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Finding the Third Proportional to 26,656 and 44,423

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Solution

The third proportional to 26,656 and 44,423 is: 74,032.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,656 : 44,423 = 44,423 : x
  2. Step 2: Convert to fraction form
    26,656/44,423 = 44,423/x
  3. Step 3: Cross multiply
    26,656x = 44,423 × 44,423
  4. Step 4: Simplify right side
    26,656x = 1,973,402,929
  5. Step 5: Solve for x
    x = 1,973,402,929/26,656
  6. Step 6: Final answer
    x = 74,032.22

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.