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Finding the Third Proportional to 21,052.50 and 33,549.75

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Solution

The third proportional to 21,052.50 and 33,549.75 is: 53,465.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,052.50 : 33,549.75 = 33,549.75 : x
  2. Step 2: Convert to fraction form
    21,052.50/33,549.75 = 33,549.75/x
  3. Step 3: Cross multiply
    21,052.50x = 33,549.75 × 33,549.75
  4. Step 4: Simplify right side
    21,052.50x = 1,125,585,725.06
  5. Step 5: Solve for x
    x = 1,125,585,725.06/21,052.50
  6. Step 6: Final answer
    x = 53,465.66

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.