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Finding the Third Proportional to 24,302 and 39,683

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Solution

The third proportional to 24,302 and 39,683 is: 64,798.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,302 : 39,683 = 39,683 : x
  2. Step 2: Convert to fraction form
    24,302/39,683 = 39,683/x
  3. Step 3: Cross multiply
    24,302x = 39,683 × 39,683
  4. Step 4: Simplify right side
    24,302x = 1,574,740,489
  5. Step 5: Solve for x
    x = 1,574,740,489/24,302
  6. Step 6: Final answer
    x = 64,798.80

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.