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Finding the Third Proportional to 13,210 and 28,202

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Solution

The third proportional to 13,210 and 28,202 is: 60,208.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,210 : 28,202 = 28,202 : x
  2. Step 2: Convert to fraction form
    13,210/28,202 = 28,202/x
  3. Step 3: Cross multiply
    13,210x = 28,202 × 28,202
  4. Step 4: Simplify right side
    13,210x = 795,352,804
  5. Step 5: Solve for x
    x = 795,352,804/13,210
  6. Step 6: Final answer
    x = 60,208.39

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.