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Finding the Third Proportional to 4,677.38 and 10,235.63

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Solution

The third proportional to 4,677.38 and 10,235.63 is: 22,398.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,677.38 : 10,235.63 = 10,235.63 : x
  2. Step 2: Convert to fraction form
    4,677.38/10,235.63 = 10,235.63/x
  3. Step 3: Cross multiply
    4,677.38x = 10,235.63 × 10,235.63
  4. Step 4: Simplify right side
    4,677.38x = 104,768,019.14
  5. Step 5: Solve for x
    x = 104,768,019.14/4,677.38
  6. Step 6: Final answer
    x = 22,398.89

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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.