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Finding the Third Proportional to 4,214.53 and 6,416.72

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Solution

The third proportional to 4,214.53 and 6,416.72 is: 9,769.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,214.53 : 6,416.72 = 6,416.72 : x
  2. Step 2: Convert to fraction form
    4,214.53/6,416.72 = 6,416.72/x
  3. Step 3: Cross multiply
    4,214.53x = 6,416.72 × 6,416.72
  4. Step 4: Simplify right side
    4,214.53x = 41,174,279.52
  5. Step 5: Solve for x
    x = 41,174,279.52/4,214.53
  6. Step 6: Final answer
    x = 9,769.60

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.