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Finding the Third Proportional to 6,798.94 and 10,421.16

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Solution

The third proportional to 6,798.94 and 10,421.16 is: 15,973.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,798.94 : 10,421.16 = 10,421.16 : x
  2. Step 2: Convert to fraction form
    6,798.94/10,421.16 = 10,421.16/x
  3. Step 3: Cross multiply
    6,798.94x = 10,421.16 × 10,421.16
  4. Step 4: Simplify right side
    6,798.94x = 108,600,497.59
  5. Step 5: Solve for x
    x = 108,600,497.59/6,798.94
  6. Step 6: Final answer
    x = 15,973.16

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.