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Finding the Third Proportional to 14,095.69 and 19,828.13

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Solution

The third proportional to 14,095.69 and 19,828.13 is: 27,891.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,095.69 : 19,828.13 = 19,828.13 : x
  2. Step 2: Convert to fraction form
    14,095.69/19,828.13 = 19,828.13/x
  3. Step 3: Cross multiply
    14,095.69x = 19,828.13 × 19,828.13
  4. Step 4: Simplify right side
    14,095.69x = 393,154,541.02
  5. Step 5: Solve for x
    x = 393,154,541.02/14,095.69
  6. Step 6: Final answer
    x = 27,891.83

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.