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Finding the Third Proportional to 19,701.84 and 42,752.67

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Solution

The third proportional to 19,701.84 and 42,752.67 is: 92,772.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,701.84 : 42,752.67 = 42,752.67 : x
  2. Step 2: Convert to fraction form
    19,701.84/42,752.67 = 42,752.67/x
  3. Step 3: Cross multiply
    19,701.84x = 42,752.67 × 42,752.67
  4. Step 4: Simplify right side
    19,701.84x = 1,827,790,952.45
  5. Step 5: Solve for x
    x = 1,827,790,952.45/19,701.84
  6. Step 6: Final answer
    x = 92,772.58

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.