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Finding the Third Proportional to 29,348 and 65,242

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Solution

The third proportional to 29,348 and 65,242 is: 145,036.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,348 : 65,242 = 65,242 : x
  2. Step 2: Convert to fraction form
    29,348/65,242 = 65,242/x
  3. Step 3: Cross multiply
    29,348x = 65,242 × 65,242
  4. Step 4: Simplify right side
    29,348x = 4,256,518,564
  5. Step 5: Solve for x
    x = 4,256,518,564/29,348
  6. Step 6: Final answer
    x = 145,036.07

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.