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Finding the Third Proportional to 7,849 and 16,503.50

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Solution

The third proportional to 7,849 and 16,503.50 is: 34,700.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,849 : 16,503.50 = 16,503.50 : x
  2. Step 2: Convert to fraction form
    7,849/16,503.50 = 16,503.50/x
  3. Step 3: Cross multiply
    7,849x = 16,503.50 × 16,503.50
  4. Step 4: Simplify right side
    7,849x = 272,365,512.25
  5. Step 5: Solve for x
    x = 272,365,512.25/7,849
  6. Step 6: Final answer
    x = 34,700.66

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.