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Finding the Third Proportional to 23,241 and 34,312.50

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Solution

The third proportional to 23,241 and 34,312.50 is: 50,658.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,241 : 34,312.50 = 34,312.50 : x
  2. Step 2: Convert to fraction form
    23,241/34,312.50 = 34,312.50/x
  3. Step 3: Cross multiply
    23,241x = 34,312.50 × 34,312.50
  4. Step 4: Simplify right side
    23,241x = 1,177,347,656.25
  5. Step 5: Solve for x
    x = 1,177,347,656.25/23,241
  6. Step 6: Final answer
    x = 50,658.22

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.