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Finding the Third Proportional to 12,202 and 15,807

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Solution

The third proportional to 12,202 and 15,807 is: 20,477.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,202 : 15,807 = 15,807 : x
  2. Step 2: Convert to fraction form
    12,202/15,807 = 15,807/x
  3. Step 3: Cross multiply
    12,202x = 15,807 × 15,807
  4. Step 4: Simplify right side
    12,202x = 249,861,249
  5. Step 5: Solve for x
    x = 249,861,249/12,202
  6. Step 6: Final answer
    x = 20,477.07

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.