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Finding the Third Proportional to 37,773 and 80,032.50

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Solution

The third proportional to 37,773 and 80,032.50 is: 169,570.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,773 : 80,032.50 = 80,032.50 : x
  2. Step 2: Convert to fraction form
    37,773/80,032.50 = 80,032.50/x
  3. Step 3: Cross multiply
    37,773x = 80,032.50 × 80,032.50
  4. Step 4: Simplify right side
    37,773x = 6,405,201,056.25
  5. Step 5: Solve for x
    x = 6,405,201,056.25/37,773
  6. Step 6: Final answer
    x = 169,570.89

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.