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Finding the Third Proportional to 7,946.86 and 17,533.97

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Solution

The third proportional to 7,946.86 and 17,533.97 is: 38,686.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,946.86 : 17,533.97 = 17,533.97 : x
  2. Step 2: Convert to fraction form
    7,946.86/17,533.97 = 17,533.97/x
  3. Step 3: Cross multiply
    7,946.86x = 17,533.97 × 17,533.97
  4. Step 4: Simplify right side
    7,946.86x = 307,440,060.13
  5. Step 5: Solve for x
    x = 307,440,060.13/7,946.86
  6. Step 6: Final answer
    x = 38,686.99

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.