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Finding the Third Proportional to 3,140.02 and 4,695.47

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Solution

The third proportional to 3,140.02 and 4,695.47 is: 7,021.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,140.02 : 4,695.47 = 4,695.47 : x
  2. Step 2: Convert to fraction form
    3,140.02/4,695.47 = 4,695.47/x
  3. Step 3: Cross multiply
    3,140.02x = 4,695.47 × 4,695.47
  4. Step 4: Simplify right side
    3,140.02x = 22,047,426.78
  5. Step 5: Solve for x
    x = 22,047,426.78/3,140.02
  6. Step 6: Final answer
    x = 7,021.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.