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Finding the Third Proportional to 10,616.06 and 15,927.89

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Solution

The third proportional to 10,616.06 and 15,927.89 is: 23,897.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,616.06 : 15,927.89 = 15,927.89 : x
  2. Step 2: Convert to fraction form
    10,616.06/15,927.89 = 15,927.89/x
  3. Step 3: Cross multiply
    10,616.06x = 15,927.89 × 15,927.89
  4. Step 4: Simplify right side
    10,616.06x = 253,697,699.76
  5. Step 5: Solve for x
    x = 253,697,699.76/10,616.06
  6. Step 6: Final answer
    x = 23,897.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.