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Finding the Third Proportional to 21,206 and 31,808

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Solution

The third proportional to 21,206 and 31,808 is: 47,710.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,206 : 31,808 = 31,808 : x
  2. Step 2: Convert to fraction form
    21,206/31,808 = 31,808/x
  3. Step 3: Cross multiply
    21,206x = 31,808 × 31,808
  4. Step 4: Simplify right side
    21,206x = 1,011,748,864
  5. Step 5: Solve for x
    x = 1,011,748,864/21,206
  6. Step 6: Final answer
    x = 47,710.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.