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Finding the Third Proportional to 29,776 and 73,420

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Solution

The third proportional to 29,776 and 73,420 is: 181,034.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,776 : 73,420 = 73,420 : x
  2. Step 2: Convert to fraction form
    29,776/73,420 = 73,420/x
  3. Step 3: Cross multiply
    29,776x = 73,420 × 73,420
  4. Step 4: Simplify right side
    29,776x = 5,390,496,400
  5. Step 5: Solve for x
    x = 5,390,496,400/29,776
  6. Step 6: Final answer
    x = 181,034.94

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Why These Related Problems?

These problems maintain the same ratio (2.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.