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Finding the Third Proportional to 4,597 and 7,282.50

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Solution

The third proportional to 4,597 and 7,282.50 is: 11,536.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,597 : 7,282.50 = 7,282.50 : x
  2. Step 2: Convert to fraction form
    4,597/7,282.50 = 7,282.50/x
  3. Step 3: Cross multiply
    4,597x = 7,282.50 × 7,282.50
  4. Step 4: Simplify right side
    4,597x = 53,034,806.25
  5. Step 5: Solve for x
    x = 53,034,806.25/4,597
  6. Step 6: Final answer
    x = 11,536.83

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.