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Finding the Third Proportional to 8,277.19 and 19,422.28

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Solution

The third proportional to 8,277.19 and 19,422.28 is: 45,574.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,277.19 : 19,422.28 = 19,422.28 : x
  2. Step 2: Convert to fraction form
    8,277.19/19,422.28 = 19,422.28/x
  3. Step 3: Cross multiply
    8,277.19x = 19,422.28 × 19,422.28
  4. Step 4: Simplify right side
    8,277.19x = 377,225,008.95
  5. Step 5: Solve for x
    x = 377,225,008.95/8,277.19
  6. Step 6: Final answer
    x = 45,574.06

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.