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Finding the Third Proportional to 6,565 and 10,394.75

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Solution

The third proportional to 6,565 and 10,394.75 is: 16,458.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,565 : 10,394.75 = 10,394.75 : x
  2. Step 2: Convert to fraction form
    6,565/10,394.75 = 10,394.75/x
  3. Step 3: Cross multiply
    6,565x = 10,394.75 × 10,394.75
  4. Step 4: Simplify right side
    6,565x = 108,050,827.56
  5. Step 5: Solve for x
    x = 108,050,827.56/6,565
  6. Step 6: Final answer
    x = 16,458.62

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.