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Finding the Third Proportional to 37,988 and 58,973

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Solution

The third proportional to 37,988 and 58,973 is: 91,550.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,988 : 58,973 = 58,973 : x
  2. Step 2: Convert to fraction form
    37,988/58,973 = 58,973/x
  3. Step 3: Cross multiply
    37,988x = 58,973 × 58,973
  4. Step 4: Simplify right side
    37,988x = 3,477,814,729
  5. Step 5: Solve for x
    x = 3,477,814,729/37,988
  6. Step 6: Final answer
    x = 91,550.35

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.