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Finding the Third Proportional to 12,957 and 21,210

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Solution

The third proportional to 12,957 and 21,210 is: 34,719.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,957 : 21,210 = 21,210 : x
  2. Step 2: Convert to fraction form
    12,957/21,210 = 21,210/x
  3. Step 3: Cross multiply
    12,957x = 21,210 × 21,210
  4. Step 4: Simplify right side
    12,957x = 449,864,100
  5. Step 5: Solve for x
    x = 449,864,100/12,957
  6. Step 6: Final answer
    x = 34,719.77

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.