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Finding the Third Proportional to 38,314.75 and 83,527

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Solution

The third proportional to 38,314.75 and 83,527 is: 182,090.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,314.75 : 83,527 = 83,527 : x
  2. Step 2: Convert to fraction form
    38,314.75/83,527 = 83,527/x
  3. Step 3: Cross multiply
    38,314.75x = 83,527 × 83,527
  4. Step 4: Simplify right side
    38,314.75x = 6,976,759,729
  5. Step 5: Solve for x
    x = 6,976,759,729/38,314.75
  6. Step 6: Final answer
    x = 182,090.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.