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Finding the Third Proportional to 26,506.50 and 38,964.75

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Solution

The third proportional to 26,506.50 and 38,964.75 is: 57,278.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,506.50 : 38,964.75 = 38,964.75 : x
  2. Step 2: Convert to fraction form
    26,506.50/38,964.75 = 38,964.75/x
  3. Step 3: Cross multiply
    26,506.50x = 38,964.75 × 38,964.75
  4. Step 4: Simplify right side
    26,506.50x = 1,518,251,742.56
  5. Step 5: Solve for x
    x = 1,518,251,742.56/26,506.50
  6. Step 6: Final answer
    x = 57,278.47

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.