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Finding the Third Proportional to 10,499.63 and 17,349.19

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Solution

The third proportional to 10,499.63 and 17,349.19 is: 28,667.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,499.63 : 17,349.19 = 17,349.19 : x
  2. Step 2: Convert to fraction form
    10,499.63/17,349.19 = 17,349.19/x
  3. Step 3: Cross multiply
    10,499.63x = 17,349.19 × 17,349.19
  4. Step 4: Simplify right side
    10,499.63x = 300,994,306.91
  5. Step 5: Solve for x
    x = 300,994,306.91/10,499.63
  6. Step 6: Final answer
    x = 28,667.15

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.