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Finding the Third Proportional to 16,335.42 and 24,024.66

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Solution

The third proportional to 16,335.42 and 24,024.66 is: 35,333.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,335.42 : 24,024.66 = 24,024.66 : x
  2. Step 2: Convert to fraction form
    16,335.42/24,024.66 = 24,024.66/x
  3. Step 3: Cross multiply
    16,335.42x = 24,024.66 × 24,024.66
  4. Step 4: Simplify right side
    16,335.42x = 577,184,107.93
  5. Step 5: Solve for x
    x = 577,184,107.93/16,335.42
  6. Step 6: Final answer
    x = 35,333.28

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.