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Finding the Third Proportional to 7,232.63 and 15,695.44

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Solution

The third proportional to 7,232.63 and 15,695.44 is: 34,060.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,232.63 : 15,695.44 = 15,695.44 : x
  2. Step 2: Convert to fraction form
    7,232.63/15,695.44 = 15,695.44/x
  3. Step 3: Cross multiply
    7,232.63x = 15,695.44 × 15,695.44
  4. Step 4: Simplify right side
    7,232.63x = 246,346,758.32
  5. Step 5: Solve for x
    x = 246,346,758.32/7,232.63
  6. Step 6: Final answer
    x = 34,060.49

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.