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Finding the Third Proportional to 28,560 and 43,248

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Solution

The third proportional to 28,560 and 43,248 is: 65,489.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,560 : 43,248 = 43,248 : x
  2. Step 2: Convert to fraction form
    28,560/43,248 = 43,248/x
  3. Step 3: Cross multiply
    28,560x = 43,248 × 43,248
  4. Step 4: Simplify right side
    28,560x = 1,870,389,504
  5. Step 5: Solve for x
    x = 1,870,389,504/28,560
  6. Step 6: Final answer
    x = 65,489.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.