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Finding the Third Proportional to 29,282 and 43,411

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Solution

The third proportional to 29,282 and 43,411 is: 64,357.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,282 : 43,411 = 43,411 : x
  2. Step 2: Convert to fraction form
    29,282/43,411 = 43,411/x
  3. Step 3: Cross multiply
    29,282x = 43,411 × 43,411
  4. Step 4: Simplify right side
    29,282x = 1,884,514,921
  5. Step 5: Solve for x
    x = 1,884,514,921/29,282
  6. Step 6: Final answer
    x = 64,357.45

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.