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Finding the Third Proportional to 24,076 and 35,913

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Solution

The third proportional to 24,076 and 35,913 is: 53,569.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,076 : 35,913 = 35,913 : x
  2. Step 2: Convert to fraction form
    24,076/35,913 = 35,913/x
  3. Step 3: Cross multiply
    24,076x = 35,913 × 35,913
  4. Step 4: Simplify right side
    24,076x = 1,289,743,569
  5. Step 5: Solve for x
    x = 1,289,743,569/24,076
  6. Step 6: Final answer
    x = 53,569.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.