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Finding the Third Proportional to 5,202 and 10,709

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Solution

The third proportional to 5,202 and 10,709 is: 22,045.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,202 : 10,709 = 10,709 : x
  2. Step 2: Convert to fraction form
    5,202/10,709 = 10,709/x
  3. Step 3: Cross multiply
    5,202x = 10,709 × 10,709
  4. Step 4: Simplify right side
    5,202x = 114,682,681
  5. Step 5: Solve for x
    x = 114,682,681/5,202
  6. Step 6: Final answer
    x = 22,045.88

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.