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Finding the Third Proportional to 34,235.50 and 51,123.50

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Solution

The third proportional to 34,235.50 and 51,123.50 is: 76,342.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,235.50 : 51,123.50 = 51,123.50 : x
  2. Step 2: Convert to fraction form
    34,235.50/51,123.50 = 51,123.50/x
  3. Step 3: Cross multiply
    34,235.50x = 51,123.50 × 51,123.50
  4. Step 4: Simplify right side
    34,235.50x = 2,613,612,252.25
  5. Step 5: Solve for x
    x = 2,613,612,252.25/34,235.50
  6. Step 6: Final answer
    x = 76,342.17

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.