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Finding the Third Proportional to 37,824.47 and 53,010.07

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Solution

The third proportional to 37,824.47 and 53,010.07 is: 74,292.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,824.47 : 53,010.07 = 53,010.07 : x
  2. Step 2: Convert to fraction form
    37,824.47/53,010.07 = 53,010.07/x
  3. Step 3: Cross multiply
    37,824.47x = 53,010.07 × 53,010.07
  4. Step 4: Simplify right side
    37,824.47x = 2,810,067,554.54
  5. Step 5: Solve for x
    x = 2,810,067,554.54/37,824.47
  6. Step 6: Final answer
    x = 74,292.32

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.