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Finding the Third Proportional to 7,555.78 and 16,495.52

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Solution

The third proportional to 7,555.78 and 16,495.52 is: 36,012.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,555.78 : 16,495.52 = 16,495.52 : x
  2. Step 2: Convert to fraction form
    7,555.78/16,495.52 = 16,495.52/x
  3. Step 3: Cross multiply
    7,555.78x = 16,495.52 × 16,495.52
  4. Step 4: Simplify right side
    7,555.78x = 272,102,293.48
  5. Step 5: Solve for x
    x = 272,102,293.48/7,555.78
  6. Step 6: Final answer
    x = 36,012.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.