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Finding the Third Proportional to 30,036 and 42,250.50

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Solution

The third proportional to 30,036 and 42,250.50 is: 59,432.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,036 : 42,250.50 = 42,250.50 : x
  2. Step 2: Convert to fraction form
    30,036/42,250.50 = 42,250.50/x
  3. Step 3: Cross multiply
    30,036x = 42,250.50 × 42,250.50
  4. Step 4: Simplify right side
    30,036x = 1,785,104,750.25
  5. Step 5: Solve for x
    x = 1,785,104,750.25/30,036
  6. Step 6: Final answer
    x = 59,432.17

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.