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Finding the Third Proportional to 1,139.91 and 2,492.72

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Solution

The third proportional to 1,139.91 and 2,492.72 is: 5,451.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,139.91 : 2,492.72 = 2,492.72 : x
  2. Step 2: Convert to fraction form
    1,139.91/2,492.72 = 2,492.72/x
  3. Step 3: Cross multiply
    1,139.91x = 2,492.72 × 2,492.72
  4. Step 4: Simplify right side
    1,139.91x = 6,213,646.77
  5. Step 5: Solve for x
    x = 6,213,646.77/1,139.91
  6. Step 6: Final answer
    x = 5,451.02

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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.