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Finding the Third Proportional to 8,038.50 and 17,457

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Solution

The third proportional to 8,038.50 and 17,457 is: 37,910.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,038.50 : 17,457 = 17,457 : x
  2. Step 2: Convert to fraction form
    8,038.50/17,457 = 17,457/x
  3. Step 3: Cross multiply
    8,038.50x = 17,457 × 17,457
  4. Step 4: Simplify right side
    8,038.50x = 304,746,849
  5. Step 5: Solve for x
    x = 304,746,849/8,038.50
  6. Step 6: Final answer
    x = 37,910.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.