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Finding the Third Proportional to 9,677.06 and 14,142.19

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Solution

The third proportional to 9,677.06 and 14,142.19 is: 20,667.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,677.06 : 14,142.19 = 14,142.19 : x
  2. Step 2: Convert to fraction form
    9,677.06/14,142.19 = 14,142.19/x
  3. Step 3: Cross multiply
    9,677.06x = 14,142.19 × 14,142.19
  4. Step 4: Simplify right side
    9,677.06x = 200,001,467.29
  5. Step 5: Solve for x
    x = 200,001,467.29/9,677.06
  6. Step 6: Final answer
    x = 20,667.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.