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Finding the Third Proportional to 7,645.78 and 16,210.38

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Solution

The third proportional to 7,645.78 and 16,210.38 is: 34,368.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,645.78 : 16,210.38 = 16,210.38 : x
  2. Step 2: Convert to fraction form
    7,645.78/16,210.38 = 16,210.38/x
  3. Step 3: Cross multiply
    7,645.78x = 16,210.38 × 16,210.38
  4. Step 4: Simplify right side
    7,645.78x = 262,776,257.64
  5. Step 5: Solve for x
    x = 262,776,257.64/7,645.78
  6. Step 6: Final answer
    x = 34,368.79

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.