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Finding the Third Proportional to 7,071 and 15,242.25

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Solution

The third proportional to 7,071 and 15,242.25 is: 32,856.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,071 : 15,242.25 = 15,242.25 : x
  2. Step 2: Convert to fraction form
    7,071/15,242.25 = 15,242.25/x
  3. Step 3: Cross multiply
    7,071x = 15,242.25 × 15,242.25
  4. Step 4: Simplify right side
    7,071x = 232,326,185.06
  5. Step 5: Solve for x
    x = 232,326,185.06/7,071
  6. Step 6: Final answer
    x = 32,856.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.