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Finding the Third Proportional to 24,280 and 33,076

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Solution

The third proportional to 24,280 and 33,076 is: 45,058.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,280 : 33,076 = 33,076 : x
  2. Step 2: Convert to fraction form
    24,280/33,076 = 33,076/x
  3. Step 3: Cross multiply
    24,280x = 33,076 × 33,076
  4. Step 4: Simplify right side
    24,280x = 1,094,021,776
  5. Step 5: Solve for x
    x = 1,094,021,776/24,280
  6. Step 6: Final answer
    x = 45,058.56

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.