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Finding the Third Proportional to 25,680.38 and 40,748.06

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Solution

The third proportional to 25,680.38 and 40,748.06 is: 64,656.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,680.38 : 40,748.06 = 40,748.06 : x
  2. Step 2: Convert to fraction form
    25,680.38/40,748.06 = 40,748.06/x
  3. Step 3: Cross multiply
    25,680.38x = 40,748.06 × 40,748.06
  4. Step 4: Simplify right side
    25,680.38x = 1,660,404,597.50
  5. Step 5: Solve for x
    x = 1,660,404,597.50/25,680.38
  6. Step 6: Final answer
    x = 64,656.56

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.