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Finding the Third Proportional to 7,014.94 and 15,587.16

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Solution

The third proportional to 7,014.94 and 15,587.16 is: 34,634.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,014.94 : 15,587.16 = 15,587.16 : x
  2. Step 2: Convert to fraction form
    7,014.94/15,587.16 = 15,587.16/x
  3. Step 3: Cross multiply
    7,014.94x = 15,587.16 × 15,587.16
  4. Step 4: Simplify right side
    7,014.94x = 242,959,439.96
  5. Step 5: Solve for x
    x = 242,959,439.96/7,014.94
  6. Step 6: Final answer
    x = 34,634.58

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.