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Finding the Third Proportional to 37,557 and 57,975.75

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Solution

The third proportional to 37,557 and 57,975.75 is: 89,495.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,557 : 57,975.75 = 57,975.75 : x
  2. Step 2: Convert to fraction form
    37,557/57,975.75 = 57,975.75/x
  3. Step 3: Cross multiply
    37,557x = 57,975.75 × 57,975.75
  4. Step 4: Simplify right side
    37,557x = 3,361,187,588.06
  5. Step 5: Solve for x
    x = 3,361,187,588.06/37,557
  6. Step 6: Final answer
    x = 89,495.64

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.