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Finding the Third Proportional to 16,074 and 24,309

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Solution

The third proportional to 16,074 and 24,309 is: 36,762.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,074 : 24,309 = 24,309 : x
  2. Step 2: Convert to fraction form
    16,074/24,309 = 24,309/x
  3. Step 3: Cross multiply
    16,074x = 24,309 × 24,309
  4. Step 4: Simplify right side
    16,074x = 590,927,481
  5. Step 5: Solve for x
    x = 590,927,481/16,074
  6. Step 6: Final answer
    x = 36,762.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.