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Finding the Third Proportional to 14,844 and 32,034

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Solution

The third proportional to 14,844 and 32,034 is: 69,130.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,844 : 32,034 = 32,034 : x
  2. Step 2: Convert to fraction form
    14,844/32,034 = 32,034/x
  3. Step 3: Cross multiply
    14,844x = 32,034 × 32,034
  4. Step 4: Simplify right side
    14,844x = 1,026,177,156
  5. Step 5: Solve for x
    x = 1,026,177,156/14,844
  6. Step 6: Final answer
    x = 69,130.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.