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Finding the Third Proportional to 34,344 and 46,440

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Solution

The third proportional to 34,344 and 46,440 is: 62,796.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,344 : 46,440 = 46,440 : x
  2. Step 2: Convert to fraction form
    34,344/46,440 = 46,440/x
  3. Step 3: Cross multiply
    34,344x = 46,440 × 46,440
  4. Step 4: Simplify right side
    34,344x = 2,156,673,600
  5. Step 5: Solve for x
    x = 2,156,673,600/34,344
  6. Step 6: Final answer
    x = 62,796.23

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.