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Finding the Third Proportional to 24,324 and 39,714

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Solution

The third proportional to 24,324 and 39,714 is: 64,841.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,324 : 39,714 = 39,714 : x
  2. Step 2: Convert to fraction form
    24,324/39,714 = 39,714/x
  3. Step 3: Cross multiply
    24,324x = 39,714 × 39,714
  4. Step 4: Simplify right side
    24,324x = 1,577,201,796
  5. Step 5: Solve for x
    x = 1,577,201,796/24,324
  6. Step 6: Final answer
    x = 64,841.38

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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.