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Finding the Third Proportional to 30,224 and 42,486.50

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Solution

The third proportional to 30,224 and 42,486.50 is: 59,724.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,224 : 42,486.50 = 42,486.50 : x
  2. Step 2: Convert to fraction form
    30,224/42,486.50 = 42,486.50/x
  3. Step 3: Cross multiply
    30,224x = 42,486.50 × 42,486.50
  4. Step 4: Simplify right side
    30,224x = 1,805,102,682.25
  5. Step 5: Solve for x
    x = 1,805,102,682.25/30,224
  6. Step 6: Final answer
    x = 59,724.15

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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.