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Finding the Third Proportional to 23,748.50 and 37,060

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Solution

The third proportional to 23,748.50 and 37,060 is: 57,832.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,748.50 : 37,060 = 37,060 : x
  2. Step 2: Convert to fraction form
    23,748.50/37,060 = 37,060/x
  3. Step 3: Cross multiply
    23,748.50x = 37,060 × 37,060
  4. Step 4: Simplify right side
    23,748.50x = 1,373,443,600
  5. Step 5: Solve for x
    x = 1,373,443,600/23,748.50
  6. Step 6: Final answer
    x = 57,832.86

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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.