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Finding the Third Proportional to 29,546 and 64,033

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Solution

The third proportional to 29,546 and 64,033 is: 138,774.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,546 : 64,033 = 64,033 : x
  2. Step 2: Convert to fraction form
    29,546/64,033 = 64,033/x
  3. Step 3: Cross multiply
    29,546x = 64,033 × 64,033
  4. Step 4: Simplify right side
    29,546x = 4,100,225,089
  5. Step 5: Solve for x
    x = 4,100,225,089/29,546
  6. Step 6: Final answer
    x = 138,774.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.