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Finding the Third Proportional to 23,221 and 35,047.50

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Solution

The third proportional to 23,221 and 35,047.50 is: 52,897.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,221 : 35,047.50 = 35,047.50 : x
  2. Step 2: Convert to fraction form
    23,221/35,047.50 = 35,047.50/x
  3. Step 3: Cross multiply
    23,221x = 35,047.50 × 35,047.50
  4. Step 4: Simplify right side
    23,221x = 1,228,327,256.25
  5. Step 5: Solve for x
    x = 1,228,327,256.25/23,221
  6. Step 6: Final answer
    x = 52,897.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.