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Finding the Third Proportional to 10,810.13 and 16,269.19

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Solution

The third proportional to 10,810.13 and 16,269.19 is: 24,485.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,810.13 : 16,269.19 = 16,269.19 : x
  2. Step 2: Convert to fraction form
    10,810.13/16,269.19 = 16,269.19/x
  3. Step 3: Cross multiply
    10,810.13x = 16,269.19 × 16,269.19
  4. Step 4: Simplify right side
    10,810.13x = 264,686,461.91
  5. Step 5: Solve for x
    x = 264,686,461.91/10,810.13
  6. Step 6: Final answer
    x = 24,485.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.