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Finding the Third Proportional to 12,390.47 and 17,663.06

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Solution

The third proportional to 12,390.47 and 17,663.06 is: 25,179.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,390.47 : 17,663.06 = 17,663.06 : x
  2. Step 2: Convert to fraction form
    12,390.47/17,663.06 = 17,663.06/x
  3. Step 3: Cross multiply
    12,390.47x = 17,663.06 × 17,663.06
  4. Step 4: Simplify right side
    12,390.47x = 311,983,776.88
  5. Step 5: Solve for x
    x = 311,983,776.88/12,390.47
  6. Step 6: Final answer
    x = 25,179.34

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.