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Finding the Third Proportional to 5,298.75 and 6,483.38

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Solution

The third proportional to 5,298.75 and 6,483.38 is: 7,932.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,298.75 : 6,483.38 = 6,483.38 : x
  2. Step 2: Convert to fraction form
    5,298.75/6,483.38 = 6,483.38/x
  3. Step 3: Cross multiply
    5,298.75x = 6,483.38 × 6,483.38
  4. Step 4: Simplify right side
    5,298.75x = 42,034,151.39
  5. Step 5: Solve for x
    x = 42,034,151.39/5,298.75
  6. Step 6: Final answer
    x = 7,932.84

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.