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Finding the Third Proportional to 23,886.14 and 52,317.14

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Solution

The third proportional to 23,886.14 and 52,317.14 is: 114,588.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,886.14 : 52,317.14 = 52,317.14 : x
  2. Step 2: Convert to fraction form
    23,886.14/52,317.14 = 52,317.14/x
  3. Step 3: Cross multiply
    23,886.14x = 52,317.14 × 52,317.14
  4. Step 4: Simplify right side
    23,886.14x = 2,737,083,203.18
  5. Step 5: Solve for x
    x = 2,737,083,203.18/23,886.14
  6. Step 6: Final answer
    x = 114,588.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.