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Finding the Third Proportional to 10,499.06 and 15,127.59

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Solution

The third proportional to 10,499.06 and 15,127.59 is: 21,796.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,499.06 : 15,127.59 = 15,127.59 : x
  2. Step 2: Convert to fraction form
    10,499.06/15,127.59 = 15,127.59/x
  3. Step 3: Cross multiply
    10,499.06x = 15,127.59 × 15,127.59
  4. Step 4: Simplify right side
    10,499.06x = 228,844,092.67
  5. Step 5: Solve for x
    x = 228,844,092.67/10,499.06
  6. Step 6: Final answer
    x = 21,796.62

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.