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Finding the Third Proportional to 10,914.86 and 16,012.90

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Solution

The third proportional to 10,914.86 and 16,012.90 is: 23,492.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,914.86 : 16,012.90 = 16,012.90 : x
  2. Step 2: Convert to fraction form
    10,914.86/16,012.90 = 16,012.90/x
  3. Step 3: Cross multiply
    10,914.86x = 16,012.90 × 16,012.90
  4. Step 4: Simplify right side
    10,914.86x = 256,412,916.37
  5. Step 5: Solve for x
    x = 256,412,916.37/10,914.86
  6. Step 6: Final answer
    x = 23,492.10

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.