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Finding the Third Proportional to 7,034 and 10,053

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Solution

The third proportional to 7,034 and 10,053 is: 14,367.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,034 : 10,053 = 10,053 : x
  2. Step 2: Convert to fraction form
    7,034/10,053 = 10,053/x
  3. Step 3: Cross multiply
    7,034x = 10,053 × 10,053
  4. Step 4: Simplify right side
    7,034x = 101,062,809
  5. Step 5: Solve for x
    x = 101,062,809/7,034
  6. Step 6: Final answer
    x = 14,367.76

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.