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Finding the Third Proportional to 2,097.50 and 4,559

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Solution

The third proportional to 2,097.50 and 4,559 is: 9,909.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097.50 : 4,559 = 4,559 : x
  2. Step 2: Convert to fraction form
    2,097.50/4,559 = 4,559/x
  3. Step 3: Cross multiply
    2,097.50x = 4,559 × 4,559
  4. Step 4: Simplify right side
    2,097.50x = 20,784,481
  5. Step 5: Solve for x
    x = 20,784,481/2,097.50
  6. Step 6: Final answer
    x = 9,909.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.