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Finding the Third Proportional to 6,341.63 and 9,476.16

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Solution

The third proportional to 6,341.63 and 9,476.16 is: 14,160.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,341.63 : 9,476.16 = 9,476.16 : x
  2. Step 2: Convert to fraction form
    6,341.63/9,476.16 = 9,476.16/x
  3. Step 3: Cross multiply
    6,341.63x = 9,476.16 × 9,476.16
  4. Step 4: Simplify right side
    6,341.63x = 89,797,537.27
  5. Step 5: Solve for x
    x = 89,797,537.27/6,341.63
  6. Step 6: Final answer
    x = 14,160.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.