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Finding the Third Proportional to 5,325.12 and 7,883.74

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Solution

The third proportional to 5,325.12 and 7,883.74 is: 11,671.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,325.12 : 7,883.74 = 7,883.74 : x
  2. Step 2: Convert to fraction form
    5,325.12/7,883.74 = 7,883.74/x
  3. Step 3: Cross multiply
    5,325.12x = 7,883.74 × 7,883.74
  4. Step 4: Simplify right side
    5,325.12x = 62,153,298.49
  5. Step 5: Solve for x
    x = 62,153,298.49/5,325.12
  6. Step 6: Final answer
    x = 11,671.72

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.