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Finding the Third Proportional to 24,176 and 37,060

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Solution

The third proportional to 24,176 and 37,060 is: 56,810.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,176 : 37,060 = 37,060 : x
  2. Step 2: Convert to fraction form
    24,176/37,060 = 37,060/x
  3. Step 3: Cross multiply
    24,176x = 37,060 × 37,060
  4. Step 4: Simplify right side
    24,176x = 1,373,443,600
  5. Step 5: Solve for x
    x = 1,373,443,600/24,176
  6. Step 6: Final answer
    x = 56,810.21

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.