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Finding the Third Proportional to 7,101 and 15,483.66

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Solution

The third proportional to 7,101 and 15,483.66 is: 33,761.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,101 : 15,483.66 = 15,483.66 : x
  2. Step 2: Convert to fraction form
    7,101/15,483.66 = 15,483.66/x
  3. Step 3: Cross multiply
    7,101x = 15,483.66 × 15,483.66
  4. Step 4: Simplify right side
    7,101x = 239,743,610.87
  5. Step 5: Solve for x
    x = 239,743,610.87/7,101
  6. Step 6: Final answer
    x = 33,761.95

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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.