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Finding the Third Proportional to 6,377.33 and 9,572.40

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Solution

The third proportional to 6,377.33 and 9,572.40 is: 14,368.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,377.33 : 9,572.40 = 9,572.40 : x
  2. Step 2: Convert to fraction form
    6,377.33/9,572.40 = 9,572.40/x
  3. Step 3: Cross multiply
    6,377.33x = 9,572.40 × 9,572.40
  4. Step 4: Simplify right side
    6,377.33x = 91,630,774.45
  5. Step 5: Solve for x
    x = 91,630,774.45/6,377.33
  6. Step 6: Final answer
    x = 14,368.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.