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Finding the Third Proportional to 23,737.50 and 37,071

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Solution

The third proportional to 23,737.50 and 37,071 is: 57,894.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,737.50 : 37,071 = 37,071 : x
  2. Step 2: Convert to fraction form
    23,737.50/37,071 = 37,071/x
  3. Step 3: Cross multiply
    23,737.50x = 37,071 × 37,071
  4. Step 4: Simplify right side
    23,737.50x = 1,374,259,041
  5. Step 5: Solve for x
    x = 1,374,259,041/23,737.50
  6. Step 6: Final answer
    x = 57,894.01

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.