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Finding the Third Proportional to 21,514.50 and 32,042.25

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Solution

The third proportional to 21,514.50 and 32,042.25 is: 47,721.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,514.50 : 32,042.25 = 32,042.25 : x
  2. Step 2: Convert to fraction form
    21,514.50/32,042.25 = 32,042.25/x
  3. Step 3: Cross multiply
    21,514.50x = 32,042.25 × 32,042.25
  4. Step 4: Simplify right side
    21,514.50x = 1,026,705,785.06
  5. Step 5: Solve for x
    x = 1,026,705,785.06/21,514.50
  6. Step 6: Final answer
    x = 47,721.57

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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.