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Finding the Third Proportional to 36,711 and 56,526.75

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Solution

The third proportional to 36,711 and 56,526.75 is: 87,038.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,711 : 56,526.75 = 56,526.75 : x
  2. Step 2: Convert to fraction form
    36,711/56,526.75 = 56,526.75/x
  3. Step 3: Cross multiply
    36,711x = 56,526.75 × 56,526.75
  4. Step 4: Simplify right side
    36,711x = 3,195,273,465.56
  5. Step 5: Solve for x
    x = 3,195,273,465.56/36,711
  6. Step 6: Final answer
    x = 87,038.58

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.