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Finding the Third Proportional to 10,297.13 and 13,985.44

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Solution

The third proportional to 10,297.13 and 13,985.44 is: 18,994.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,297.13 : 13,985.44 = 13,985.44 : x
  2. Step 2: Convert to fraction form
    10,297.13/13,985.44 = 13,985.44/x
  3. Step 3: Cross multiply
    10,297.13x = 13,985.44 × 13,985.44
  4. Step 4: Simplify right side
    10,297.13x = 195,592,462.07
  5. Step 5: Solve for x
    x = 195,592,462.07/10,297.13
  6. Step 6: Final answer
    x = 18,994.86

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.