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Finding the Third Proportional to 21,990.55 and 47,095.01

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Solution

The third proportional to 21,990.55 and 47,095.01 is: 100,858.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,990.55 : 47,095.01 = 47,095.01 : x
  2. Step 2: Convert to fraction form
    21,990.55/47,095.01 = 47,095.01/x
  3. Step 3: Cross multiply
    21,990.55x = 47,095.01 × 47,095.01
  4. Step 4: Simplify right side
    21,990.55x = 2,217,940,312.75
  5. Step 5: Solve for x
    x = 2,217,940,312.75/21,990.55
  6. Step 6: Final answer
    x = 100,858.79

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.