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Finding the Third Proportional to 22,548.25 and 35,702.75

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Solution

The third proportional to 22,548.25 and 35,702.75 is: 56,531.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,548.25 : 35,702.75 = 35,702.75 : x
  2. Step 2: Convert to fraction form
    22,548.25/35,702.75 = 35,702.75/x
  3. Step 3: Cross multiply
    22,548.25x = 35,702.75 × 35,702.75
  4. Step 4: Simplify right side
    22,548.25x = 1,274,686,357.56
  5. Step 5: Solve for x
    x = 1,274,686,357.56/22,548.25
  6. Step 6: Final answer
    x = 56,531.50

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.