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Finding the Third Proportional to 25,232.34 and 53,077.78

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Solution

The third proportional to 25,232.34 and 53,077.78 is: 111,652.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,232.34 : 53,077.78 = 53,077.78 : x
  2. Step 2: Convert to fraction form
    25,232.34/53,077.78 = 53,077.78/x
  3. Step 3: Cross multiply
    25,232.34x = 53,077.78 × 53,077.78
  4. Step 4: Simplify right side
    25,232.34x = 2,817,250,862.42
  5. Step 5: Solve for x
    x = 2,817,250,862.42/25,232.34
  6. Step 6: Final answer
    x = 111,652.37

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.