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Finding the Third Proportional to 5,010.75 and 7,370.63

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Solution

The third proportional to 5,010.75 and 7,370.63 is: 10,841.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,010.75 : 7,370.63 = 7,370.63 : x
  2. Step 2: Convert to fraction form
    5,010.75/7,370.63 = 7,370.63/x
  3. Step 3: Cross multiply
    5,010.75x = 7,370.63 × 7,370.63
  4. Step 4: Simplify right side
    5,010.75x = 54,326,112.89
  5. Step 5: Solve for x
    x = 54,326,112.89/5,010.75
  6. Step 6: Final answer
    x = 10,841.91

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.