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Finding the Third Proportional to 4,531.03 and 6,824.39

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Solution

The third proportional to 4,531.03 and 6,824.39 is: 10,278.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,531.03 : 6,824.39 = 6,824.39 : x
  2. Step 2: Convert to fraction form
    4,531.03/6,824.39 = 6,824.39/x
  3. Step 3: Cross multiply
    4,531.03x = 6,824.39 × 6,824.39
  4. Step 4: Simplify right side
    4,531.03x = 46,572,307.40
  5. Step 5: Solve for x
    x = 46,572,307.40/4,531.03
  6. Step 6: Final answer
    x = 10,278.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.