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Finding the Third Proportional to 2,152.50 and 3,252

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Solution

The third proportional to 2,152.50 and 3,252 is: 4,913.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,152.50 : 3,252 = 3,252 : x
  2. Step 2: Convert to fraction form
    2,152.50/3,252 = 3,252/x
  3. Step 3: Cross multiply
    2,152.50x = 3,252 × 3,252
  4. Step 4: Simplify right side
    2,152.50x = 10,575,504
  5. Step 5: Solve for x
    x = 10,575,504/2,152.50
  6. Step 6: Final answer
    x = 4,913.13

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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.