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Finding the Third Proportional to 10,507.50 and 16,269.19

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Solution

The third proportional to 10,507.50 and 16,269.19 is: 25,190.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,507.50 : 16,269.19 = 16,269.19 : x
  2. Step 2: Convert to fraction form
    10,507.50/16,269.19 = 16,269.19/x
  3. Step 3: Cross multiply
    10,507.50x = 16,269.19 × 16,269.19
  4. Step 4: Simplify right side
    10,507.50x = 264,686,461.91
  5. Step 5: Solve for x
    x = 264,686,461.91/10,507.50
  6. Step 6: Final answer
    x = 25,190.24

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Why These Related Problems?

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