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Finding the Third Proportional to 13,644 and 26,646.75

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Solution

The third proportional to 13,644 and 26,646.75 is: 52,041.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,644 : 26,646.75 = 26,646.75 : x
  2. Step 2: Convert to fraction form
    13,644/26,646.75 = 26,646.75/x
  3. Step 3: Cross multiply
    13,644x = 26,646.75 × 26,646.75
  4. Step 4: Simplify right side
    13,644x = 710,049,285.56
  5. Step 5: Solve for x
    x = 710,049,285.56/13,644
  6. Step 6: Final answer
    x = 52,041.14

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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.