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Finding the Third Proportional to 38,980.75 and 57,013

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Solution

The third proportional to 38,980.75 and 57,013 is: 83,386.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,980.75 : 57,013 = 57,013 : x
  2. Step 2: Convert to fraction form
    38,980.75/57,013 = 57,013/x
  3. Step 3: Cross multiply
    38,980.75x = 57,013 × 57,013
  4. Step 4: Simplify right side
    38,980.75x = 3,250,482,169
  5. Step 5: Solve for x
    x = 3,250,482,169/38,980.75
  6. Step 6: Final answer
    x = 83,386.86

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.