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Finding the Third Proportional to 8,352 and 17,641.50

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Solution

The third proportional to 8,352 and 17,641.50 is: 37,263.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,352 : 17,641.50 = 17,641.50 : x
  2. Step 2: Convert to fraction form
    8,352/17,641.50 = 17,641.50/x
  3. Step 3: Cross multiply
    8,352x = 17,641.50 × 17,641.50
  4. Step 4: Simplify right side
    8,352x = 311,222,522.25
  5. Step 5: Solve for x
    x = 311,222,522.25/8,352
  6. Step 6: Final answer
    x = 37,263.23

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.