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Finding the Third Proportional to 37,458 and 56,169

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Solution

The third proportional to 37,458 and 56,169 is: 84,226.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,458 : 56,169 = 56,169 : x
  2. Step 2: Convert to fraction form
    37,458/56,169 = 56,169/x
  3. Step 3: Cross multiply
    37,458x = 56,169 × 56,169
  4. Step 4: Simplify right side
    37,458x = 3,154,956,561
  5. Step 5: Solve for x
    x = 3,154,956,561/37,458
  6. Step 6: Final answer
    x = 84,226.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.