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Finding the Third Proportional to 25,444.13 and 52,317.14

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Solution

The third proportional to 25,444.13 and 52,317.14 is: 107,572.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,444.13 : 52,317.14 = 52,317.14 : x
  2. Step 2: Convert to fraction form
    25,444.13/52,317.14 = 52,317.14/x
  3. Step 3: Cross multiply
    25,444.13x = 52,317.14 × 52,317.14
  4. Step 4: Simplify right side
    25,444.13x = 2,737,083,203.18
  5. Step 5: Solve for x
    x = 2,737,083,203.18/25,444.13
  6. Step 6: Final answer
    x = 107,572.31

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.