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Finding the Third Proportional to 17,965.13 and 25,277.06

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Solution

The third proportional to 17,965.13 and 25,277.06 is: 35,565.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,965.13 : 25,277.06 = 25,277.06 : x
  2. Step 2: Convert to fraction form
    17,965.13/25,277.06 = 25,277.06/x
  3. Step 3: Cross multiply
    17,965.13x = 25,277.06 × 25,277.06
  4. Step 4: Simplify right side
    17,965.13x = 638,929,888.63
  5. Step 5: Solve for x
    x = 638,929,888.63/17,965.13
  6. Step 6: Final answer
    x = 35,565.01

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.