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Finding the Third Proportional to 22,948.31 and 35,460.56

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Solution

The third proportional to 22,948.31 and 35,460.56 is: 54,794.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,948.31 : 35,460.56 = 35,460.56 : x
  2. Step 2: Convert to fraction form
    22,948.31/35,460.56 = 35,460.56/x
  3. Step 3: Cross multiply
    22,948.31x = 35,460.56 × 35,460.56
  4. Step 4: Simplify right side
    22,948.31x = 1,257,451,492.82
  5. Step 5: Solve for x
    x = 1,257,451,492.82/22,948.31
  6. Step 6: Final answer
    x = 54,794.94

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.