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Finding the Third Proportional to 21,335 and 33,470

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Solution

The third proportional to 21,335 and 33,470 is: 52,507.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,335 : 33,470 = 33,470 : x
  2. Step 2: Convert to fraction form
    21,335/33,470 = 33,470/x
  3. Step 3: Cross multiply
    21,335x = 33,470 × 33,470
  4. Step 4: Simplify right side
    21,335x = 1,120,240,900
  5. Step 5: Solve for x
    x = 1,120,240,900/21,335
  6. Step 6: Final answer
    x = 52,507.19

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.