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Finding the Third Proportional to 13,062 and 15,726

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Solution

The third proportional to 13,062 and 15,726 is: 18,933.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,062 : 15,726 = 15,726 : x
  2. Step 2: Convert to fraction form
    13,062/15,726 = 15,726/x
  3. Step 3: Cross multiply
    13,062x = 15,726 × 15,726
  4. Step 4: Simplify right side
    13,062x = 247,307,076
  5. Step 5: Solve for x
    x = 247,307,076/13,062
  6. Step 6: Final answer
    x = 18,933.32

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These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.