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Finding the Third Proportional to 11,506 and 27,709

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Solution

The third proportional to 11,506 and 27,709 is: 66,729.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,506 : 27,709 = 27,709 : x
  2. Step 2: Convert to fraction form
    11,506/27,709 = 27,709/x
  3. Step 3: Cross multiply
    11,506x = 27,709 × 27,709
  4. Step 4: Simplify right side
    11,506x = 767,788,681
  5. Step 5: Solve for x
    x = 767,788,681/11,506
  6. Step 6: Final answer
    x = 66,729.42

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.