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Finding the Third Proportional to 13,686.25 and 29,621.75

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Solution

The third proportional to 13,686.25 and 29,621.75 is: 64,111.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,686.25 : 29,621.75 = 29,621.75 : x
  2. Step 2: Convert to fraction form
    13,686.25/29,621.75 = 29,621.75/x
  3. Step 3: Cross multiply
    13,686.25x = 29,621.75 × 29,621.75
  4. Step 4: Simplify right side
    13,686.25x = 877,448,073.06
  5. Step 5: Solve for x
    x = 877,448,073.06/13,686.25
  6. Step 6: Final answer
    x = 64,111.65

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.