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Finding the Third Proportional to 13,309 and 20,877

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Solution

The third proportional to 13,309 and 20,877 is: 32,748.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,309 : 20,877 = 20,877 : x
  2. Step 2: Convert to fraction form
    13,309/20,877 = 20,877/x
  3. Step 3: Cross multiply
    13,309x = 20,877 × 20,877
  4. Step 4: Simplify right side
    13,309x = 435,849,129
  5. Step 5: Solve for x
    x = 435,849,129/13,309
  6. Step 6: Final answer
    x = 32,748.45

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.