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Finding the Third Proportional to 24,439 and 36,658

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Solution

The third proportional to 24,439 and 36,658 is: 54,986.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,439 : 36,658 = 36,658 : x
  2. Step 2: Convert to fraction form
    24,439/36,658 = 36,658/x
  3. Step 3: Cross multiply
    24,439x = 36,658 × 36,658
  4. Step 4: Simplify right side
    24,439x = 1,343,808,964
  5. Step 5: Solve for x
    x = 1,343,808,964/24,439
  6. Step 6: Final answer
    x = 54,986.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.