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Finding the Third Proportional to 9,176.63 and 10,027.13

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Solution

The third proportional to 9,176.63 and 10,027.13 is: 10,956.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,176.63 : 10,027.13 = 10,027.13 : x
  2. Step 2: Convert to fraction form
    9,176.63/10,027.13 = 10,027.13/x
  3. Step 3: Cross multiply
    9,176.63x = 10,027.13 × 10,027.13
  4. Step 4: Simplify right side
    9,176.63x = 100,543,235.77
  5. Step 5: Solve for x
    x = 100,543,235.77/9,176.63
  6. Step 6: Final answer
    x = 10,956.45

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.