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Finding the Third Proportional to 10,997.65 and 14,941.65

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Solution

The third proportional to 10,997.65 and 14,941.65 is: 20,300.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,997.65 : 14,941.65 = 14,941.65 : x
  2. Step 2: Convert to fraction form
    10,997.65/14,941.65 = 14,941.65/x
  3. Step 3: Cross multiply
    10,997.65x = 14,941.65 × 14,941.65
  4. Step 4: Simplify right side
    10,997.65x = 223,252,974.76
  5. Step 5: Solve for x
    x = 223,252,974.76/10,997.65
  6. Step 6: Final answer
    x = 20,300.06

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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.