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Finding the Third Proportional to 8,145.98 and 17,848.76

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Solution

The third proportional to 8,145.98 and 17,848.76 is: 39,108.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,145.98 : 17,848.76 = 17,848.76 : x
  2. Step 2: Convert to fraction form
    8,145.98/17,848.76 = 17,848.76/x
  3. Step 3: Cross multiply
    8,145.98x = 17,848.76 × 17,848.76
  4. Step 4: Simplify right side
    8,145.98x = 318,578,155.45
  5. Step 5: Solve for x
    x = 318,578,155.45/8,145.98
  6. Step 6: Final answer
    x = 39,108.61

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.