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Finding the Third Proportional to 29,588 and 64,924

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Solution

The third proportional to 29,588 and 64,924 is: 142,460.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,588 : 64,924 = 64,924 : x
  2. Step 2: Convert to fraction form
    29,588/64,924 = 64,924/x
  3. Step 3: Cross multiply
    29,588x = 64,924 × 64,924
  4. Step 4: Simplify right side
    29,588x = 4,215,125,776
  5. Step 5: Solve for x
    x = 4,215,125,776/29,588
  6. Step 6: Final answer
    x = 142,460.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.