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Finding the Third Proportional to 34,440 and 75,431

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Solution

The third proportional to 34,440 and 75,431 is: 165,210.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,440 : 75,431 = 75,431 : x
  2. Step 2: Convert to fraction form
    34,440/75,431 = 75,431/x
  3. Step 3: Cross multiply
    34,440x = 75,431 × 75,431
  4. Step 4: Simplify right side
    34,440x = 5,689,835,761
  5. Step 5: Solve for x
    x = 5,689,835,761/34,440
  6. Step 6: Final answer
    x = 165,210.10

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.