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Finding the Third Proportional to 6,472.63 and 9,585.75

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Solution

The third proportional to 6,472.63 and 9,585.75 is: 14,196.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,472.63 : 9,585.75 = 9,585.75 : x
  2. Step 2: Convert to fraction form
    6,472.63/9,585.75 = 9,585.75/x
  3. Step 3: Cross multiply
    6,472.63x = 9,585.75 × 9,585.75
  4. Step 4: Simplify right side
    6,472.63x = 91,886,603.06
  5. Step 5: Solve for x
    x = 91,886,603.06/6,472.63
  6. Step 6: Final answer
    x = 14,196.19

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.