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Finding the Third Proportional to 12,187.13 and 26,457.19

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Solution

The third proportional to 12,187.13 and 26,457.19 is: 57,436.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,187.13 : 26,457.19 = 26,457.19 : x
  2. Step 2: Convert to fraction form
    12,187.13/26,457.19 = 26,457.19/x
  3. Step 3: Cross multiply
    12,187.13x = 26,457.19 × 26,457.19
  4. Step 4: Simplify right side
    12,187.13x = 699,982,770.41
  5. Step 5: Solve for x
    x = 699,982,770.41/12,187.13
  6. Step 6: Final answer
    x = 57,436.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.