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Finding the Third Proportional to 30,219 and 42,478.50

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Solution

The third proportional to 30,219 and 42,478.50 is: 59,711.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,219 : 42,478.50 = 42,478.50 : x
  2. Step 2: Convert to fraction form
    30,219/42,478.50 = 42,478.50/x
  3. Step 3: Cross multiply
    30,219x = 42,478.50 × 42,478.50
  4. Step 4: Simplify right side
    30,219x = 1,804,422,962.25
  5. Step 5: Solve for x
    x = 1,804,422,962.25/30,219
  6. Step 6: Final answer
    x = 59,711.54

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