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Finding the Third Proportional to 42,777 and 61,069.50

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Solution

The third proportional to 42,777 and 61,069.50 is: 87,184.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,777 : 61,069.50 = 61,069.50 : x
  2. Step 2: Convert to fraction form
    42,777/61,069.50 = 61,069.50/x
  3. Step 3: Cross multiply
    42,777x = 61,069.50 × 61,069.50
  4. Step 4: Simplify right side
    42,777x = 3,729,483,830.25
  5. Step 5: Solve for x
    x = 3,729,483,830.25/42,777
  6. Step 6: Final answer
    x = 87,184.32

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.