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Finding the Third Proportional to 17,527.50 and 38,457

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Solution

The third proportional to 17,527.50 and 38,457 is: 84,378.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,527.50 : 38,457 = 38,457 : x
  2. Step 2: Convert to fraction form
    17,527.50/38,457 = 38,457/x
  3. Step 3: Cross multiply
    17,527.50x = 38,457 × 38,457
  4. Step 4: Simplify right side
    17,527.50x = 1,478,940,849
  5. Step 5: Solve for x
    x = 1,478,940,849/17,527.50
  6. Step 6: Final answer
    x = 84,378.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.