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Finding the Third Proportional to 6,535.69 and 9,864.91

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Solution

The third proportional to 6,535.69 and 9,864.91 is: 14,890.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,535.69 : 9,864.91 = 9,864.91 : x
  2. Step 2: Convert to fraction form
    6,535.69/9,864.91 = 9,864.91/x
  3. Step 3: Cross multiply
    6,535.69x = 9,864.91 × 9,864.91
  4. Step 4: Simplify right side
    6,535.69x = 97,316,529.46
  5. Step 5: Solve for x
    x = 97,316,529.46/6,535.69
  6. Step 6: Final answer
    x = 14,890.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.