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Finding the Third Proportional to 17,345 and 36,502.50

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Solution

The third proportional to 17,345 and 36,502.50 is: 76,819.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,345 : 36,502.50 = 36,502.50 : x
  2. Step 2: Convert to fraction form
    17,345/36,502.50 = 36,502.50/x
  3. Step 3: Cross multiply
    17,345x = 36,502.50 × 36,502.50
  4. Step 4: Simplify right side
    17,345x = 1,332,432,506.25
  5. Step 5: Solve for x
    x = 1,332,432,506.25/17,345
  6. Step 6: Final answer
    x = 76,819.40

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.