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Finding the Third Proportional to 4,672.96 and 10,254.14

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Solution

The third proportional to 4,672.96 and 10,254.14 is: 22,501.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,672.96 : 10,254.14 = 10,254.14 : x
  2. Step 2: Convert to fraction form
    4,672.96/10,254.14 = 10,254.14/x
  3. Step 3: Cross multiply
    4,672.96x = 10,254.14 × 10,254.14
  4. Step 4: Simplify right side
    4,672.96x = 105,147,317.34
  5. Step 5: Solve for x
    x = 105,147,317.34/4,672.96
  6. Step 6: Final answer
    x = 22,501.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.