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Finding the Third Proportional to 37,133 and 57,587

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Solution

The third proportional to 37,133 and 57,587 is: 89,307.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,133 : 57,587 = 57,587 : x
  2. Step 2: Convert to fraction form
    37,133/57,587 = 57,587/x
  3. Step 3: Cross multiply
    37,133x = 57,587 × 57,587
  4. Step 4: Simplify right side
    37,133x = 3,316,262,569
  5. Step 5: Solve for x
    x = 3,316,262,569/37,133
  6. Step 6: Final answer
    x = 89,307.69

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.