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Finding the Third Proportional to 25,647.19 and 38,368.13

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Solution

The third proportional to 25,647.19 and 38,368.13 is: 57,398.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,647.19 : 38,368.13 = 38,368.13 : x
  2. Step 2: Convert to fraction form
    25,647.19/38,368.13 = 38,368.13/x
  3. Step 3: Cross multiply
    25,647.19x = 38,368.13 × 38,368.13
  4. Step 4: Simplify right side
    25,647.19x = 1,472,113,016.02
  5. Step 5: Solve for x
    x = 1,472,113,016.02/25,647.19
  6. Step 6: Final answer
    x = 57,398.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.