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Finding the Third Proportional to 42,271.88 and 64,997.44

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Solution

The third proportional to 42,271.88 and 64,997.44 is: 99,940.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,271.88 : 64,997.44 = 64,997.44 : x
  2. Step 2: Convert to fraction form
    42,271.88/64,997.44 = 64,997.44/x
  3. Step 3: Cross multiply
    42,271.88x = 64,997.44 × 64,997.44
  4. Step 4: Simplify right side
    42,271.88x = 4,224,666,881.57
  5. Step 5: Solve for x
    x = 4,224,666,881.57/42,271.88
  6. Step 6: Final answer
    x = 99,940.37

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.