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Finding the Third Proportional to 24,742 and 36,648

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Solution

The third proportional to 24,742 and 36,648 is: 54,283.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,742 : 36,648 = 36,648 : x
  2. Step 2: Convert to fraction form
    24,742/36,648 = 36,648/x
  3. Step 3: Cross multiply
    24,742x = 36,648 × 36,648
  4. Step 4: Simplify right side
    24,742x = 1,343,075,904
  5. Step 5: Solve for x
    x = 1,343,075,904/24,742
  6. Step 6: Final answer
    x = 54,283.24

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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.