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Finding the Third Proportional to 55,215.50 and 73,565

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Solution

The third proportional to 55,215.50 and 73,565 is: 98,012.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,215.50 : 73,565 = 73,565 : x
  2. Step 2: Convert to fraction form
    55,215.50/73,565 = 73,565/x
  3. Step 3: Cross multiply
    55,215.50x = 73,565 × 73,565
  4. Step 4: Simplify right side
    55,215.50x = 5,411,809,225
  5. Step 5: Solve for x
    x = 5,411,809,225/55,215.50
  6. Step 6: Final answer
    x = 98,012.50

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.