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Finding the Third Proportional to 16,903.69 and 24,031.69

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Solution

The third proportional to 16,903.69 and 24,031.69 is: 34,165.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,903.69 : 24,031.69 = 24,031.69 : x
  2. Step 2: Convert to fraction form
    16,903.69/24,031.69 = 24,031.69/x
  3. Step 3: Cross multiply
    16,903.69x = 24,031.69 × 24,031.69
  4. Step 4: Simplify right side
    16,903.69x = 577,522,004.10
  5. Step 5: Solve for x
    x = 577,522,004.10/16,903.69
  6. Step 6: Final answer
    x = 34,165.44

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.