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Finding the Third Proportional to 37,054 and 48,669

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Solution

The third proportional to 37,054 and 48,669 is: 63,924.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,054 : 48,669 = 48,669 : x
  2. Step 2: Convert to fraction form
    37,054/48,669 = 48,669/x
  3. Step 3: Cross multiply
    37,054x = 48,669 × 48,669
  4. Step 4: Simplify right side
    37,054x = 2,368,671,561
  5. Step 5: Solve for x
    x = 2,368,671,561/37,054
  6. Step 6: Final answer
    x = 63,924.85

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.