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Finding the Third Proportional to 42,615 and 63,895.50

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Solution

The third proportional to 42,615 and 63,895.50 is: 95,802.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,615 : 63,895.50 = 63,895.50 : x
  2. Step 2: Convert to fraction form
    42,615/63,895.50 = 63,895.50/x
  3. Step 3: Cross multiply
    42,615x = 63,895.50 × 63,895.50
  4. Step 4: Simplify right side
    42,615x = 4,082,634,920.25
  5. Step 5: Solve for x
    x = 4,082,634,920.25/42,615
  6. Step 6: Final answer
    x = 95,802.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.