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Finding the Third Proportional to 23,587.13 and 37,875

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Solution

The third proportional to 23,587.13 and 37,875 is: 60,817.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,587.13 : 37,875 = 37,875 : x
  2. Step 2: Convert to fraction form
    23,587.13/37,875 = 37,875/x
  3. Step 3: Cross multiply
    23,587.13x = 37,875 × 37,875
  4. Step 4: Simplify right side
    23,587.13x = 1,434,515,625
  5. Step 5: Solve for x
    x = 1,434,515,625/23,587.13
  6. Step 6: Final answer
    x = 60,817.74

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.