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Finding the Third Proportional to 34,541.63 and 76,344

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Solution

The third proportional to 34,541.63 and 76,344 is: 168,735.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,541.63 : 76,344 = 76,344 : x
  2. Step 2: Convert to fraction form
    34,541.63/76,344 = 76,344/x
  3. Step 3: Cross multiply
    34,541.63x = 76,344 × 76,344
  4. Step 4: Simplify right side
    34,541.63x = 5,828,406,336
  5. Step 5: Solve for x
    x = 5,828,406,336/34,541.63
  6. Step 6: Final answer
    x = 168,735.73

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.