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Finding the Third Proportional to 10,080 and 22,078.13

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Solution

The third proportional to 10,080 and 22,078.13 is: 48,357.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,080 : 22,078.13 = 22,078.13 : x
  2. Step 2: Convert to fraction form
    10,080/22,078.13 = 22,078.13/x
  3. Step 3: Cross multiply
    10,080x = 22,078.13 × 22,078.13
  4. Step 4: Simplify right side
    10,080x = 487,443,603.52
  5. Step 5: Solve for x
    x = 487,443,603.52/10,080
  6. Step 6: Final answer
    x = 48,357.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.