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Finding the Third Proportional to 7,303 and 15,517

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Solution

The third proportional to 7,303 and 15,517 is: 32,969.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,303 : 15,517 = 15,517 : x
  2. Step 2: Convert to fraction form
    7,303/15,517 = 15,517/x
  3. Step 3: Cross multiply
    7,303x = 15,517 × 15,517
  4. Step 4: Simplify right side
    7,303x = 240,777,289
  5. Step 5: Solve for x
    x = 240,777,289/7,303
  6. Step 6: Final answer
    x = 32,969.64

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.