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Finding the Third Proportional to 2,199 and 4,597.50

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Solution

The third proportional to 2,199 and 4,597.50 is: 9,612.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,199 : 4,597.50 = 4,597.50 : x
  2. Step 2: Convert to fraction form
    2,199/4,597.50 = 4,597.50/x
  3. Step 3: Cross multiply
    2,199x = 4,597.50 × 4,597.50
  4. Step 4: Simplify right side
    2,199x = 21,137,006.25
  5. Step 5: Solve for x
    x = 21,137,006.25/2,199
  6. Step 6: Final answer
    x = 9,612.10

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.