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Finding the Third Proportional to 2,071.13 and 3,116.25

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Solution

The third proportional to 2,071.13 and 3,116.25 is: 4,688.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071.13 : 3,116.25 = 3,116.25 : x
  2. Step 2: Convert to fraction form
    2,071.13/3,116.25 = 3,116.25/x
  3. Step 3: Cross multiply
    2,071.13x = 3,116.25 × 3,116.25
  4. Step 4: Simplify right side
    2,071.13x = 9,711,014.06
  5. Step 5: Solve for x
    x = 9,711,014.06/2,071.13
  6. Step 6: Final answer
    x = 4,688.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.