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Finding the Third Proportional to 21,160 and 31,084

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Solution

The third proportional to 21,160 and 31,084 is: 45,662.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,160 : 31,084 = 31,084 : x
  2. Step 2: Convert to fraction form
    21,160/31,084 = 31,084/x
  3. Step 3: Cross multiply
    21,160x = 31,084 × 31,084
  4. Step 4: Simplify right side
    21,160x = 966,215,056
  5. Step 5: Solve for x
    x = 966,215,056/21,160
  6. Step 6: Final answer
    x = 45,662.34

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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.