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Finding the Third Proportional to 24,046 and 52,466

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Solution

The third proportional to 24,046 and 52,466 is: 114,475.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,046 : 52,466 = 52,466 : x
  2. Step 2: Convert to fraction form
    24,046/52,466 = 52,466/x
  3. Step 3: Cross multiply
    24,046x = 52,466 × 52,466
  4. Step 4: Simplify right side
    24,046x = 2,752,681,156
  5. Step 5: Solve for x
    x = 2,752,681,156/24,046
  6. Step 6: Final answer
    x = 114,475.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.