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Finding the Third Proportional to 10,980.75 and 25,908.75

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Solution

The third proportional to 10,980.75 and 25,908.75 is: 61,130.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,980.75 : 25,908.75 = 25,908.75 : x
  2. Step 2: Convert to fraction form
    10,980.75/25,908.75 = 25,908.75/x
  3. Step 3: Cross multiply
    10,980.75x = 25,908.75 × 25,908.75
  4. Step 4: Simplify right side
    10,980.75x = 671,263,326.56
  5. Step 5: Solve for x
    x = 671,263,326.56/10,980.75
  6. Step 6: Final answer
    x = 61,130.92

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.