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Finding the Third Proportional to 25,830.56 and 54,761.06

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Solution

The third proportional to 25,830.56 and 54,761.06 is: 116,094.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,830.56 : 54,761.06 = 54,761.06 : x
  2. Step 2: Convert to fraction form
    25,830.56/54,761.06 = 54,761.06/x
  3. Step 3: Cross multiply
    25,830.56x = 54,761.06 × 54,761.06
  4. Step 4: Simplify right side
    25,830.56x = 2,998,773,966.13
  5. Step 5: Solve for x
    x = 2,998,773,966.13/25,830.56
  6. Step 6: Final answer
    x = 116,094.02

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.