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Finding the Third Proportional to 19,997.72 and 42,460.88

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Solution

The third proportional to 19,997.72 and 42,460.88 is: 90,156.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,997.72 : 42,460.88 = 42,460.88 : x
  2. Step 2: Convert to fraction form
    19,997.72/42,460.88 = 42,460.88/x
  3. Step 3: Cross multiply
    19,997.72x = 42,460.88 × 42,460.88
  4. Step 4: Simplify right side
    19,997.72x = 1,802,925,905.77
  5. Step 5: Solve for x
    x = 1,802,925,905.77/19,997.72
  6. Step 6: Final answer
    x = 90,156.58

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.