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Finding the Third Proportional to 10,897.03 and 17,389.69

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Solution

The third proportional to 10,897.03 and 17,389.69 is: 27,750.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,897.03 : 17,389.69 = 17,389.69 : x
  2. Step 2: Convert to fraction form
    10,897.03/17,389.69 = 17,389.69/x
  3. Step 3: Cross multiply
    10,897.03x = 17,389.69 × 17,389.69
  4. Step 4: Simplify right side
    10,897.03x = 302,401,231.35
  5. Step 5: Solve for x
    x = 302,401,231.35/10,897.03
  6. Step 6: Final answer
    x = 27,750.79

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.