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Finding the Third Proportional to 37,854.84 and 53,080.31

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Solution

The third proportional to 37,854.84 and 53,080.31 is: 74,429.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,854.84 : 53,080.31 = 53,080.31 : x
  2. Step 2: Convert to fraction form
    37,854.84/53,080.31 = 53,080.31/x
  3. Step 3: Cross multiply
    37,854.84x = 53,080.31 × 53,080.31
  4. Step 4: Simplify right side
    37,854.84x = 2,817,519,575.10
  5. Step 5: Solve for x
    x = 2,817,519,575.10/37,854.84
  6. Step 6: Final answer
    x = 74,429.57

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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.