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Finding the Third Proportional to 12,111 and 25,973.75

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Solution

The third proportional to 12,111 and 25,973.75 is: 55,704.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,111 : 25,973.75 = 25,973.75 : x
  2. Step 2: Convert to fraction form
    12,111/25,973.75 = 25,973.75/x
  3. Step 3: Cross multiply
    12,111x = 25,973.75 × 25,973.75
  4. Step 4: Simplify right side
    12,111x = 674,635,689.06
  5. Step 5: Solve for x
    x = 674,635,689.06/12,111
  6. Step 6: Final answer
    x = 55,704.38

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.