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Finding the Third Proportional to 23,347.25 and 34,938.25

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Solution

The third proportional to 23,347.25 and 34,938.25 is: 52,283.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,347.25 : 34,938.25 = 34,938.25 : x
  2. Step 2: Convert to fraction form
    23,347.25/34,938.25 = 34,938.25/x
  3. Step 3: Cross multiply
    23,347.25x = 34,938.25 × 34,938.25
  4. Step 4: Simplify right side
    23,347.25x = 1,220,681,313.06
  5. Step 5: Solve for x
    x = 1,220,681,313.06/23,347.25
  6. Step 6: Final answer
    x = 52,283.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.