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Finding the Third Proportional to 14,131.13 and 26,146.13

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Solution

The third proportional to 14,131.13 and 26,146.13 is: 48,376.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,131.13 : 26,146.13 = 26,146.13 : x
  2. Step 2: Convert to fraction form
    14,131.13/26,146.13 = 26,146.13/x
  3. Step 3: Cross multiply
    14,131.13x = 26,146.13 × 26,146.13
  4. Step 4: Simplify right side
    14,131.13x = 683,619,852.52
  5. Step 5: Solve for x
    x = 683,619,852.52/14,131.13
  6. Step 6: Final answer
    x = 48,376.89

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.