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Finding the Third Proportional to 37,417.50 and 55,017

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Solution

The third proportional to 37,417.50 and 55,017 is: 80,894.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,417.50 : 55,017 = 55,017 : x
  2. Step 2: Convert to fraction form
    37,417.50/55,017 = 55,017/x
  3. Step 3: Cross multiply
    37,417.50x = 55,017 × 55,017
  4. Step 4: Simplify right side
    37,417.50x = 3,026,870,289
  5. Step 5: Solve for x
    x = 3,026,870,289/37,417.50
  6. Step 6: Final answer
    x = 80,894.51

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