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Finding the Third Proportional to 55,300.50 and 61,140

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Solution

The third proportional to 55,300.50 and 61,140 is: 67,596.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,300.50 : 61,140 = 61,140 : x
  2. Step 2: Convert to fraction form
    55,300.50/61,140 = 61,140/x
  3. Step 3: Cross multiply
    55,300.50x = 61,140 × 61,140
  4. Step 4: Simplify right side
    55,300.50x = 3,738,099,600
  5. Step 5: Solve for x
    x = 3,738,099,600/55,300.50
  6. Step 6: Final answer
    x = 67,596.13

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These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.