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Finding the Third Proportional to 24,699 and 38,255

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Solution

The third proportional to 24,699 and 38,255 is: 59,251.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,699 : 38,255 = 38,255 : x
  2. Step 2: Convert to fraction form
    24,699/38,255 = 38,255/x
  3. Step 3: Cross multiply
    24,699x = 38,255 × 38,255
  4. Step 4: Simplify right side
    24,699x = 1,463,445,025
  5. Step 5: Solve for x
    x = 1,463,445,025/24,699
  6. Step 6: Final answer
    x = 59,251.19

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.