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Finding the Third Proportional to 10,828.69 and 16,151.91

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Solution

The third proportional to 10,828.69 and 16,151.91 is: 24,091.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,828.69 : 16,151.91 = 16,151.91 : x
  2. Step 2: Convert to fraction form
    10,828.69/16,151.91 = 16,151.91/x
  3. Step 3: Cross multiply
    10,828.69x = 16,151.91 × 16,151.91
  4. Step 4: Simplify right side
    10,828.69x = 260,884,075.51
  5. Step 5: Solve for x
    x = 260,884,075.51/10,828.69
  6. Step 6: Final answer
    x = 24,091.94

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.