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Finding the Third Proportional to 24,044 and 52,426

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Solution

The third proportional to 24,044 and 52,426 is: 114,310.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,044 : 52,426 = 52,426 : x
  2. Step 2: Convert to fraction form
    24,044/52,426 = 52,426/x
  3. Step 3: Cross multiply
    24,044x = 52,426 × 52,426
  4. Step 4: Simplify right side
    24,044x = 2,748,485,476
  5. Step 5: Solve for x
    x = 2,748,485,476/24,044
  6. Step 6: Final answer
    x = 114,310.66

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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.