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Finding the Third Proportional to 45,424.69 and 63,654.19

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Solution

The third proportional to 45,424.69 and 63,654.19 is: 89,199.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,424.69 : 63,654.19 = 63,654.19 : x
  2. Step 2: Convert to fraction form
    45,424.69/63,654.19 = 63,654.19/x
  3. Step 3: Cross multiply
    45,424.69x = 63,654.19 × 63,654.19
  4. Step 4: Simplify right side
    45,424.69x = 4,051,855,586.29
  5. Step 5: Solve for x
    x = 4,051,855,586.29/45,424.69
  6. Step 6: Final answer
    x = 89,199.42

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.