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Finding the Third Proportional to 24,290 and 52,408

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Solution

The third proportional to 24,290 and 52,408 is: 113,075.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,290 : 52,408 = 52,408 : x
  2. Step 2: Convert to fraction form
    24,290/52,408 = 52,408/x
  3. Step 3: Cross multiply
    24,290x = 52,408 × 52,408
  4. Step 4: Simplify right side
    24,290x = 2,746,598,464
  5. Step 5: Solve for x
    x = 2,746,598,464/24,290
  6. Step 6: Final answer
    x = 113,075.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.