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Finding the Third Proportional to 21,997.50 and 35,417.50

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Solution

The third proportional to 21,997.50 and 35,417.50 is: 57,024.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,997.50 : 35,417.50 = 35,417.50 : x
  2. Step 2: Convert to fraction form
    21,997.50/35,417.50 = 35,417.50/x
  3. Step 3: Cross multiply
    21,997.50x = 35,417.50 × 35,417.50
  4. Step 4: Simplify right side
    21,997.50x = 1,254,399,306.25
  5. Step 5: Solve for x
    x = 1,254,399,306.25/21,997.50
  6. Step 6: Final answer
    x = 57,024.63

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.