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Finding the Third Proportional to 22,095.56 and 47,720.95

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Solution

The third proportional to 22,095.56 and 47,720.95 is: 103,065.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,095.56 : 47,720.95 = 47,720.95 : x
  2. Step 2: Convert to fraction form
    22,095.56/47,720.95 = 47,720.95/x
  3. Step 3: Cross multiply
    22,095.56x = 47,720.95 × 47,720.95
  4. Step 4: Simplify right side
    22,095.56x = 2,277,289,367.16
  5. Step 5: Solve for x
    x = 2,277,289,367.16/22,095.56
  6. Step 6: Final answer
    x = 103,065.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.