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Finding the Third Proportional to 37,039 and 56,987

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Solution

The third proportional to 37,039 and 56,987 is: 87,678.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,039 : 56,987 = 56,987 : x
  2. Step 2: Convert to fraction form
    37,039/56,987 = 56,987/x
  3. Step 3: Cross multiply
    37,039x = 56,987 × 56,987
  4. Step 4: Simplify right side
    37,039x = 3,247,518,169
  5. Step 5: Solve for x
    x = 3,247,518,169/37,039
  6. Step 6: Final answer
    x = 87,678.34

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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.