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Finding the Third Proportional to 4,630.78 and 10,139.91

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Solution

The third proportional to 4,630.78 and 10,139.91 is: 22,203.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,630.78 : 10,139.91 = 10,139.91 : x
  2. Step 2: Convert to fraction form
    4,630.78/10,139.91 = 10,139.91/x
  3. Step 3: Cross multiply
    4,630.78x = 10,139.91 × 10,139.91
  4. Step 4: Simplify right side
    4,630.78x = 102,817,698.76
  5. Step 5: Solve for x
    x = 102,817,698.76/4,630.78
  6. Step 6: Final answer
    x = 22,203.10

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