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Finding the Third Proportional to 34,231.50 and 45,787.50

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Solution

The third proportional to 34,231.50 and 45,787.50 is: 61,244.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,231.50 : 45,787.50 = 45,787.50 : x
  2. Step 2: Convert to fraction form
    34,231.50/45,787.50 = 45,787.50/x
  3. Step 3: Cross multiply
    34,231.50x = 45,787.50 × 45,787.50
  4. Step 4: Simplify right side
    34,231.50x = 2,096,495,156.25
  5. Step 5: Solve for x
    x = 2,096,495,156.25/34,231.50
  6. Step 6: Final answer
    x = 61,244.62

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.