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Finding the Third Proportional to 16,455.66 and 24,828.71

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Solution

The third proportional to 16,455.66 and 24,828.71 is: 37,462.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,455.66 : 24,828.71 = 24,828.71 : x
  2. Step 2: Convert to fraction form
    16,455.66/24,828.71 = 24,828.71/x
  3. Step 3: Cross multiply
    16,455.66x = 24,828.71 × 24,828.71
  4. Step 4: Simplify right side
    16,455.66x = 616,465,080.79
  5. Step 5: Solve for x
    x = 616,465,080.79/16,455.66
  6. Step 6: Final answer
    x = 37,462.20

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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.