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Finding the Third Proportional to 25,541.25 and 59,353.50

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Solution

The third proportional to 25,541.25 and 59,353.50 is: 137,927.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,541.25 : 59,353.50 = 59,353.50 : x
  2. Step 2: Convert to fraction form
    25,541.25/59,353.50 = 59,353.50/x
  3. Step 3: Cross multiply
    25,541.25x = 59,353.50 × 59,353.50
  4. Step 4: Simplify right side
    25,541.25x = 3,522,837,962.25
  5. Step 5: Solve for x
    x = 3,522,837,962.25/25,541.25
  6. Step 6: Final answer
    x = 137,927.39

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.