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Finding the Third Proportional to 22,298.63 and 30,577.78

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Solution

The third proportional to 22,298.63 and 30,577.78 is: 41,930.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,298.63 : 30,577.78 = 30,577.78 : x
  2. Step 2: Convert to fraction form
    22,298.63/30,577.78 = 30,577.78/x
  3. Step 3: Cross multiply
    22,298.63x = 30,577.78 × 30,577.78
  4. Step 4: Simplify right side
    22,298.63x = 935,000,706.17
  5. Step 5: Solve for x
    x = 935,000,706.17/22,298.63
  6. Step 6: Final answer
    x = 41,930.87

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.