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Finding the Third Proportional to 7,752.74 and 16,818.26

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Solution

The third proportional to 7,752.74 and 16,818.26 is: 36,484.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,752.74 : 16,818.26 = 16,818.26 : x
  2. Step 2: Convert to fraction form
    7,752.74/16,818.26 = 16,818.26/x
  3. Step 3: Cross multiply
    7,752.74x = 16,818.26 × 16,818.26
  4. Step 4: Simplify right side
    7,752.74x = 282,853,795.85
  5. Step 5: Solve for x
    x = 282,853,795.85/7,752.74
  6. Step 6: Final answer
    x = 36,484.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.