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Finding the Third Proportional to 26,160 and 53,711

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Solution

The third proportional to 26,160 and 53,711 is: 110,277.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,160 : 53,711 = 53,711 : x
  2. Step 2: Convert to fraction form
    26,160/53,711 = 53,711/x
  3. Step 3: Cross multiply
    26,160x = 53,711 × 53,711
  4. Step 4: Simplify right side
    26,160x = 2,884,871,521
  5. Step 5: Solve for x
    x = 2,884,871,521/26,160
  6. Step 6: Final answer
    x = 110,277.96

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.