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Finding the Third Proportional to 6,447.09 and 14,109.19

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Solution

The third proportional to 6,447.09 and 14,109.19 is: 30,877.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,447.09 : 14,109.19 = 14,109.19 : x
  2. Step 2: Convert to fraction form
    6,447.09/14,109.19 = 14,109.19/x
  3. Step 3: Cross multiply
    6,447.09x = 14,109.19 × 14,109.19
  4. Step 4: Simplify right side
    6,447.09x = 199,069,171.91
  5. Step 5: Solve for x
    x = 199,069,171.91/6,447.09
  6. Step 6: Final answer
    x = 30,877.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.