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Finding the Third Proportional to 7,345 and 15,298

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Solution

The third proportional to 7,345 and 15,298 is: 31,862.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,345 : 15,298 = 15,298 : x
  2. Step 2: Convert to fraction form
    7,345/15,298 = 15,298/x
  3. Step 3: Cross multiply
    7,345x = 15,298 × 15,298
  4. Step 4: Simplify right side
    7,345x = 234,028,804
  5. Step 5: Solve for x
    x = 234,028,804/7,345
  6. Step 6: Final answer
    x = 31,862.33

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.