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Finding the Third Proportional to 12,191 and 26,709

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Solution

The third proportional to 12,191 and 26,709 is: 58,516.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,191 : 26,709 = 26,709 : x
  2. Step 2: Convert to fraction form
    12,191/26,709 = 26,709/x
  3. Step 3: Cross multiply
    12,191x = 26,709 × 26,709
  4. Step 4: Simplify right side
    12,191x = 713,370,681
  5. Step 5: Solve for x
    x = 713,370,681/12,191
  6. Step 6: Final answer
    x = 58,516.17

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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.