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Finding the Third Proportional to 2,357 and 5,053

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Solution

The third proportional to 2,357 and 5,053 is: 10,832.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,357 : 5,053 = 5,053 : x
  2. Step 2: Convert to fraction form
    2,357/5,053 = 5,053/x
  3. Step 3: Cross multiply
    2,357x = 5,053 × 5,053
  4. Step 4: Simplify right side
    2,357x = 25,532,809
  5. Step 5: Solve for x
    x = 25,532,809/2,357
  6. Step 6: Final answer
    x = 10,832.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.