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Finding the Third Proportional to 34,431.75 and 46,342.13

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Solution

The third proportional to 34,431.75 and 46,342.13 is: 62,372.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,431.75 : 46,342.13 = 46,342.13 : x
  2. Step 2: Convert to fraction form
    34,431.75/46,342.13 = 46,342.13/x
  3. Step 3: Cross multiply
    34,431.75x = 46,342.13 × 46,342.13
  4. Step 4: Simplify right side
    34,431.75x = 2,147,592,549.52
  5. Step 5: Solve for x
    x = 2,147,592,549.52/34,431.75
  6. Step 6: Final answer
    x = 62,372.45

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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.