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Finding the Third Proportional to 24,925 and 33,581

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Solution

The third proportional to 24,925 and 33,581 is: 45,243.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,925 : 33,581 = 33,581 : x
  2. Step 2: Convert to fraction form
    24,925/33,581 = 33,581/x
  3. Step 3: Cross multiply
    24,925x = 33,581 × 33,581
  4. Step 4: Simplify right side
    24,925x = 1,127,683,561
  5. Step 5: Solve for x
    x = 1,127,683,561/24,925
  6. Step 6: Final answer
    x = 45,243.07

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.