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Finding the Third Proportional to 2,142.63 and 4,695.13

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Solution

The third proportional to 2,142.63 and 4,695.13 is: 10,288.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142.63 : 4,695.13 = 4,695.13 : x
  2. Step 2: Convert to fraction form
    2,142.63/4,695.13 = 4,695.13/x
  3. Step 3: Cross multiply
    2,142.63x = 4,695.13 × 4,695.13
  4. Step 4: Simplify right side
    2,142.63x = 22,044,198.77
  5. Step 5: Solve for x
    x = 22,044,198.77/2,142.63
  6. Step 6: Final answer
    x = 10,288.41

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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.