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Finding the Third Proportional to 6,305.63 and 9,975.38

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Solution

The third proportional to 6,305.63 and 9,975.38 is: 15,780.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,305.63 : 9,975.38 = 9,975.38 : x
  2. Step 2: Convert to fraction form
    6,305.63/9,975.38 = 9,975.38/x
  3. Step 3: Cross multiply
    6,305.63x = 9,975.38 × 9,975.38
  4. Step 4: Simplify right side
    6,305.63x = 99,508,106.39
  5. Step 5: Solve for x
    x = 99,508,106.39/6,305.63
  6. Step 6: Final answer
    x = 15,780.85

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.