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Finding the Third Proportional to 37,989 and 58,975.50

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Solution

The third proportional to 37,989 and 58,975.50 is: 91,555.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,989 : 58,975.50 = 58,975.50 : x
  2. Step 2: Convert to fraction form
    37,989/58,975.50 = 58,975.50/x
  3. Step 3: Cross multiply
    37,989x = 58,975.50 × 58,975.50
  4. Step 4: Simplify right side
    37,989x = 3,478,109,600.25
  5. Step 5: Solve for x
    x = 3,478,109,600.25/37,989
  6. Step 6: Final answer
    x = 91,555.70

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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.