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Finding the Third Proportional to 14,131.13 and 19,191.94

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Solution

The third proportional to 14,131.13 and 19,191.94 is: 26,065.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,131.13 : 19,191.94 = 19,191.94 : x
  2. Step 2: Convert to fraction form
    14,131.13/19,191.94 = 19,191.94/x
  3. Step 3: Cross multiply
    14,131.13x = 19,191.94 × 19,191.94
  4. Step 4: Simplify right side
    14,131.13x = 368,330,465.00
  5. Step 5: Solve for x
    x = 368,330,465.00/14,131.13
  6. Step 6: Final answer
    x = 26,065.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.