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Finding the Third Proportional to 26,532 and 56,709

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Solution

The third proportional to 26,532 and 56,709 is: 121,208.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,532 : 56,709 = 56,709 : x
  2. Step 2: Convert to fraction form
    26,532/56,709 = 56,709/x
  3. Step 3: Cross multiply
    26,532x = 56,709 × 56,709
  4. Step 4: Simplify right side
    26,532x = 3,215,910,681
  5. Step 5: Solve for x
    x = 3,215,910,681/26,532
  6. Step 6: Final answer
    x = 121,208.75

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.