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Finding the Third Proportional to 30,501 and 36,040.50

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Solution

The third proportional to 30,501 and 36,040.50 is: 42,586.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,501 : 36,040.50 = 36,040.50 : x
  2. Step 2: Convert to fraction form
    30,501/36,040.50 = 36,040.50/x
  3. Step 3: Cross multiply
    30,501x = 36,040.50 × 36,040.50
  4. Step 4: Simplify right side
    30,501x = 1,298,917,640.25
  5. Step 5: Solve for x
    x = 1,298,917,640.25/30,501
  6. Step 6: Final answer
    x = 42,586.07

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.