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Finding the Third Proportional to 24,871 and 36,820

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Solution

The third proportional to 24,871 and 36,820 is: 54,509.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,871 : 36,820 = 36,820 : x
  2. Step 2: Convert to fraction form
    24,871/36,820 = 36,820/x
  3. Step 3: Cross multiply
    24,871x = 36,820 × 36,820
  4. Step 4: Simplify right side
    24,871x = 1,355,712,400
  5. Step 5: Solve for x
    x = 1,355,712,400/24,871
  6. Step 6: Final answer
    x = 54,509.77

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.