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Finding the Third Proportional to 7,074 and 10,700.25

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Solution

The third proportional to 7,074 and 10,700.25 is: 16,185.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,074 : 10,700.25 = 10,700.25 : x
  2. Step 2: Convert to fraction form
    7,074/10,700.25 = 10,700.25/x
  3. Step 3: Cross multiply
    7,074x = 10,700.25 × 10,700.25
  4. Step 4: Simplify right side
    7,074x = 114,495,350.06
  5. Step 5: Solve for x
    x = 114,495,350.06/7,074
  6. Step 6: Final answer
    x = 16,185.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.