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Finding the Third Proportional to 34,880 and 75,584

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Solution

The third proportional to 34,880 and 75,584 is: 163,788.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,880 : 75,584 = 75,584 : x
  2. Step 2: Convert to fraction form
    34,880/75,584 = 75,584/x
  3. Step 3: Cross multiply
    34,880x = 75,584 × 75,584
  4. Step 4: Simplify right side
    34,880x = 5,712,941,056
  5. Step 5: Solve for x
    x = 5,712,941,056/34,880
  6. Step 6: Final answer
    x = 163,788.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.