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Finding the Third Proportional to 26,444 and 42,518

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Solution

The third proportional to 26,444 and 42,518 is: 68,362.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,444 : 42,518 = 42,518 : x
  2. Step 2: Convert to fraction form
    26,444/42,518 = 42,518/x
  3. Step 3: Cross multiply
    26,444x = 42,518 × 42,518
  4. Step 4: Simplify right side
    26,444x = 1,807,780,324
  5. Step 5: Solve for x
    x = 1,807,780,324/26,444
  6. Step 6: Final answer
    x = 68,362.59

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1.5x scale

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.