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Finding the Third Proportional to 21,202 and 31,153

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Solution

The third proportional to 21,202 and 31,153 is: 45,774.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,202 : 31,153 = 31,153 : x
  2. Step 2: Convert to fraction form
    21,202/31,153 = 31,153/x
  3. Step 3: Cross multiply
    21,202x = 31,153 × 31,153
  4. Step 4: Simplify right side
    21,202x = 970,509,409
  5. Step 5: Solve for x
    x = 970,509,409/21,202
  6. Step 6: Final answer
    x = 45,774.43

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.