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Finding the Third Proportional to 26,087 and 34,948

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Solution

The third proportional to 26,087 and 34,948 is: 46,818.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,087 : 34,948 = 34,948 : x
  2. Step 2: Convert to fraction form
    26,087/34,948 = 34,948/x
  3. Step 3: Cross multiply
    26,087x = 34,948 × 34,948
  4. Step 4: Simplify right side
    26,087x = 1,221,362,704
  5. Step 5: Solve for x
    x = 1,221,362,704/26,087
  6. Step 6: Final answer
    x = 46,818.83

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.