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Finding the Third Proportional to 17,002.50 and 24,927.75

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Solution

The third proportional to 17,002.50 and 24,927.75 is: 36,547.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,002.50 : 24,927.75 = 24,927.75 : x
  2. Step 2: Convert to fraction form
    17,002.50/24,927.75 = 24,927.75/x
  3. Step 3: Cross multiply
    17,002.50x = 24,927.75 × 24,927.75
  4. Step 4: Simplify right side
    17,002.50x = 621,392,720.06
  5. Step 5: Solve for x
    x = 621,392,720.06/17,002.50
  6. Step 6: Final answer
    x = 36,547.14

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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.