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Finding the Third Proportional to 14,878.05 and 23,051.78

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Solution

The third proportional to 14,878.05 and 23,051.78 is: 35,715.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,878.05 : 23,051.78 = 23,051.78 : x
  2. Step 2: Convert to fraction form
    14,878.05/23,051.78 = 23,051.78/x
  3. Step 3: Cross multiply
    14,878.05x = 23,051.78 × 23,051.78
  4. Step 4: Simplify right side
    14,878.05x = 531,384,438.71
  5. Step 5: Solve for x
    x = 531,384,438.71/14,878.05
  6. Step 6: Final answer
    x = 35,715.99

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.