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Finding the Third Proportional to 7,512 and 17,389.88

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Solution

The third proportional to 7,512 and 17,389.88 is: 40,256.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,512 : 17,389.88 = 17,389.88 : x
  2. Step 2: Convert to fraction form
    7,512/17,389.88 = 17,389.88/x
  3. Step 3: Cross multiply
    7,512x = 17,389.88 × 17,389.88
  4. Step 4: Simplify right side
    7,512x = 302,407,752.52
  5. Step 5: Solve for x
    x = 302,407,752.52/7,512
  6. Step 6: Final answer
    x = 40,256.62

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.