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Finding the Third Proportional to 4,248 and 6,561.38

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Solution

The third proportional to 4,248 and 6,561.38 is: 10,134.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,248 : 6,561.38 = 6,561.38 : x
  2. Step 2: Convert to fraction form
    4,248/6,561.38 = 6,561.38/x
  3. Step 3: Cross multiply
    4,248x = 6,561.38 × 6,561.38
  4. Step 4: Simplify right side
    4,248x = 43,051,641.89
  5. Step 5: Solve for x
    x = 43,051,641.89/4,248
  6. Step 6: Final answer
    x = 10,134.57

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.