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Finding the Third Proportional to 2,312.16 and 5,084.72

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Solution

The third proportional to 2,312.16 and 5,084.72 is: 11,181.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,312.16 : 5,084.72 = 5,084.72 : x
  2. Step 2: Convert to fraction form
    2,312.16/5,084.72 = 5,084.72/x
  3. Step 3: Cross multiply
    2,312.16x = 5,084.72 × 5,084.72
  4. Step 4: Simplify right side
    2,312.16x = 25,854,364.77
  5. Step 5: Solve for x
    x = 25,854,364.77/2,312.16
  6. Step 6: Final answer
    x = 11,181.93

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.