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Finding the Third Proportional to 9,208.69 and 13,068.84

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Solution

The third proportional to 9,208.69 and 13,068.84 is: 18,547.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,208.69 : 13,068.84 = 13,068.84 : x
  2. Step 2: Convert to fraction form
    9,208.69/13,068.84 = 13,068.84/x
  3. Step 3: Cross multiply
    9,208.69x = 13,068.84 × 13,068.84
  4. Step 4: Simplify right side
    9,208.69x = 170,794,676.96
  5. Step 5: Solve for x
    x = 170,794,676.96/9,208.69
  6. Step 6: Final answer
    x = 18,547.12

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.