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Finding the Third Proportional to 25,065 and 36,848.25

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Solution

The third proportional to 25,065 and 36,848.25 is: 54,170.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,065 : 36,848.25 = 36,848.25 : x
  2. Step 2: Convert to fraction form
    25,065/36,848.25 = 36,848.25/x
  3. Step 3: Cross multiply
    25,065x = 36,848.25 × 36,848.25
  4. Step 4: Simplify right side
    25,065x = 1,357,793,528.06
  5. Step 5: Solve for x
    x = 1,357,793,528.06/25,065
  6. Step 6: Final answer
    x = 54,170.90

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.