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Finding the Third Proportional to 13,886.25 and 22,085.25

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Solution

The third proportional to 13,886.25 and 22,085.25 is: 35,125.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,886.25 : 22,085.25 = 22,085.25 : x
  2. Step 2: Convert to fraction form
    13,886.25/22,085.25 = 22,085.25/x
  3. Step 3: Cross multiply
    13,886.25x = 22,085.25 × 22,085.25
  4. Step 4: Simplify right side
    13,886.25x = 487,758,267.56
  5. Step 5: Solve for x
    x = 487,758,267.56/13,886.25
  6. Step 6: Final answer
    x = 35,125.27

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.