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Finding the Third Proportional to 2,990 and 7,232

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Solution

The third proportional to 2,990 and 7,232 is: 17,492.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,990 : 7,232 = 7,232 : x
  2. Step 2: Convert to fraction form
    2,990/7,232 = 7,232/x
  3. Step 3: Cross multiply
    2,990x = 7,232 × 7,232
  4. Step 4: Simplify right side
    2,990x = 52,301,824
  5. Step 5: Solve for x
    x = 52,301,824/2,990
  6. Step 6: Final answer
    x = 17,492.25

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.