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Finding the Third Proportional to 24,044 and 52,513

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Solution

The third proportional to 24,044 and 52,513 is: 114,690.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,044 : 52,513 = 52,513 : x
  2. Step 2: Convert to fraction form
    24,044/52,513 = 52,513/x
  3. Step 3: Cross multiply
    24,044x = 52,513 × 52,513
  4. Step 4: Simplify right side
    24,044x = 2,757,615,169
  5. Step 5: Solve for x
    x = 2,757,615,169/24,044
  6. Step 6: Final answer
    x = 114,690.37

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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.