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Finding the Third Proportional to 24,365 and 35,683

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Solution

The third proportional to 24,365 and 35,683 is: 52,258.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,365 : 35,683 = 35,683 : x
  2. Step 2: Convert to fraction form
    24,365/35,683 = 35,683/x
  3. Step 3: Cross multiply
    24,365x = 35,683 × 35,683
  4. Step 4: Simplify right side
    24,365x = 1,273,276,489
  5. Step 5: Solve for x
    x = 1,273,276,489/24,365
  6. Step 6: Final answer
    x = 52,258.42

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.