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Finding the Third Proportional to 37,011 and 56,438

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Solution

The third proportional to 37,011 and 56,438 is: 86,062.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,011 : 56,438 = 56,438 : x
  2. Step 2: Convert to fraction form
    37,011/56,438 = 56,438/x
  3. Step 3: Cross multiply
    37,011x = 56,438 × 56,438
  4. Step 4: Simplify right side
    37,011x = 3,185,247,844
  5. Step 5: Solve for x
    x = 3,185,247,844/37,011
  6. Step 6: Final answer
    x = 86,062.19

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.