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Finding the Third Proportional to 24,457 and 32,305

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Solution

The third proportional to 24,457 and 32,305 is: 42,671.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,457 : 32,305 = 32,305 : x
  2. Step 2: Convert to fraction form
    24,457/32,305 = 32,305/x
  3. Step 3: Cross multiply
    24,457x = 32,305 × 32,305
  4. Step 4: Simplify right side
    24,457x = 1,043,613,025
  5. Step 5: Solve for x
    x = 1,043,613,025/24,457
  6. Step 6: Final answer
    x = 42,671.34

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.