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Finding the Third Proportional to 16,952.50 and 25,552.50

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Solution

The third proportional to 16,952.50 and 25,552.50 is: 38,515.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,952.50 : 25,552.50 = 25,552.50 : x
  2. Step 2: Convert to fraction form
    16,952.50/25,552.50 = 25,552.50/x
  3. Step 3: Cross multiply
    16,952.50x = 25,552.50 × 25,552.50
  4. Step 4: Simplify right side
    16,952.50x = 652,930,256.25
  5. Step 5: Solve for x
    x = 652,930,256.25/16,952.50
  6. Step 6: Final answer
    x = 38,515.28

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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.