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Finding the Third Proportional to 7,502.63 and 17,389.69

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Solution

The third proportional to 7,502.63 and 17,389.69 is: 40,306.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,502.63 : 17,389.69 = 17,389.69 : x
  2. Step 2: Convert to fraction form
    7,502.63/17,389.69 = 17,389.69/x
  3. Step 3: Cross multiply
    7,502.63x = 17,389.69 × 17,389.69
  4. Step 4: Simplify right side
    7,502.63x = 302,401,231.35
  5. Step 5: Solve for x
    x = 302,401,231.35/7,502.63
  6. Step 6: Final answer
    x = 40,306.06

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.