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Finding the Third Proportional to 24,106 and 36,031

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Solution

The third proportional to 24,106 and 36,031 is: 53,855.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,106 : 36,031 = 36,031 : x
  2. Step 2: Convert to fraction form
    24,106/36,031 = 36,031/x
  3. Step 3: Cross multiply
    24,106x = 36,031 × 36,031
  4. Step 4: Simplify right side
    24,106x = 1,298,232,961
  5. Step 5: Solve for x
    x = 1,298,232,961/24,106
  6. Step 6: Final answer
    x = 53,855.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.