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Finding the Third Proportional to 55,522 and 72,895.50

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Solution

The third proportional to 55,522 and 72,895.50 is: 95,705.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,522 : 72,895.50 = 72,895.50 : x
  2. Step 2: Convert to fraction form
    55,522/72,895.50 = 72,895.50/x
  3. Step 3: Cross multiply
    55,522x = 72,895.50 × 72,895.50
  4. Step 4: Simplify right side
    55,522x = 5,313,753,920.25
  5. Step 5: Solve for x
    x = 5,313,753,920.25/55,522
  6. Step 6: Final answer
    x = 95,705.38

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.