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Finding the Third Proportional to 7,703.16 and 11,007.84

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Solution

The third proportional to 7,703.16 and 11,007.84 is: 15,730.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,703.16 : 11,007.84 = 11,007.84 : x
  2. Step 2: Convert to fraction form
    7,703.16/11,007.84 = 11,007.84/x
  3. Step 3: Cross multiply
    7,703.16x = 11,007.84 × 11,007.84
  4. Step 4: Simplify right side
    7,703.16x = 121,172,624.02
  5. Step 5: Solve for x
    x = 121,172,624.02/7,703.16
  6. Step 6: Final answer
    x = 15,730.26

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.