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Finding the Third Proportional to 28,160 and 61,741.50

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Solution

The third proportional to 28,160 and 61,741.50 is: 135,369.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,160 : 61,741.50 = 61,741.50 : x
  2. Step 2: Convert to fraction form
    28,160/61,741.50 = 61,741.50/x
  3. Step 3: Cross multiply
    28,160x = 61,741.50 × 61,741.50
  4. Step 4: Simplify right side
    28,160x = 3,812,012,822.25
  5. Step 5: Solve for x
    x = 3,812,012,822.25/28,160
  6. Step 6: Final answer
    x = 135,369.77

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.