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Finding the Third Proportional to 24,776 and 37,820

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Solution

The third proportional to 24,776 and 37,820 is: 57,731.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,776 : 37,820 = 37,820 : x
  2. Step 2: Convert to fraction form
    24,776/37,820 = 37,820/x
  3. Step 3: Cross multiply
    24,776x = 37,820 × 37,820
  4. Step 4: Simplify right side
    24,776x = 1,430,352,400
  5. Step 5: Solve for x
    x = 1,430,352,400/24,776
  6. Step 6: Final answer
    x = 57,731.37

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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.