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Finding the Third Proportional to 21,360 and 31,864

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Solution

The third proportional to 21,360 and 31,864 is: 47,533.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,360 : 31,864 = 31,864 : x
  2. Step 2: Convert to fraction form
    21,360/31,864 = 31,864/x
  3. Step 3: Cross multiply
    21,360x = 31,864 × 31,864
  4. Step 4: Simplify right side
    21,360x = 1,015,314,496
  5. Step 5: Solve for x
    x = 1,015,314,496/21,360
  6. Step 6: Final answer
    x = 47,533.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.