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Finding the Third Proportional to 4,462.59 and 9,719.16

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Solution

The third proportional to 4,462.59 and 9,719.16 is: 21,167.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,462.59 : 9,719.16 = 9,719.16 : x
  2. Step 2: Convert to fraction form
    4,462.59/9,719.16 = 9,719.16/x
  3. Step 3: Cross multiply
    4,462.59x = 9,719.16 × 9,719.16
  4. Step 4: Simplify right side
    4,462.59x = 94,461,998.21
  5. Step 5: Solve for x
    x = 94,461,998.21/4,462.59
  6. Step 6: Final answer
    x = 21,167.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.