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Finding the Third Proportional to 33,457 and 45,417

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Solution

The third proportional to 33,457 and 45,417 is: 61,652.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,457 : 45,417 = 45,417 : x
  2. Step 2: Convert to fraction form
    33,457/45,417 = 45,417/x
  3. Step 3: Cross multiply
    33,457x = 45,417 × 45,417
  4. Step 4: Simplify right side
    33,457x = 2,062,703,889
  5. Step 5: Solve for x
    x = 2,062,703,889/33,457
  6. Step 6: Final answer
    x = 61,652.39

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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.