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Finding the Third Proportional to 1,613 and 1,877

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Solution

The third proportional to 1,613 and 1,877 is: 2,184.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,613 : 1,877 = 1,877 : x
  2. Step 2: Convert to fraction form
    1,613/1,877 = 1,877/x
  3. Step 3: Cross multiply
    1,613x = 1,877 × 1,877
  4. Step 4: Simplify right side
    1,613x = 3,523,129
  5. Step 5: Solve for x
    x = 3,523,129/1,613
  6. Step 6: Final answer
    x = 2,184.21

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These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.