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Finding the Third Proportional to 57,948.75 and 82,710

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Solution

The third proportional to 57,948.75 and 82,710 is: 118,051.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,948.75 : 82,710 = 82,710 : x
  2. Step 2: Convert to fraction form
    57,948.75/82,710 = 82,710/x
  3. Step 3: Cross multiply
    57,948.75x = 82,710 × 82,710
  4. Step 4: Simplify right side
    57,948.75x = 6,840,944,100
  5. Step 5: Solve for x
    x = 6,840,944,100/57,948.75
  6. Step 6: Final answer
    x = 118,051.62

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.