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Finding the Third Proportional to 4,780.38 and 10,252.63

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Solution

The third proportional to 4,780.38 and 10,252.63 is: 21,989.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,780.38 : 10,252.63 = 10,252.63 : x
  2. Step 2: Convert to fraction form
    4,780.38/10,252.63 = 10,252.63/x
  3. Step 3: Cross multiply
    4,780.38x = 10,252.63 × 10,252.63
  4. Step 4: Simplify right side
    4,780.38x = 105,116,319.39
  5. Step 5: Solve for x
    x = 105,116,319.39/4,780.38
  6. Step 6: Final answer
    x = 21,989.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.