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Finding the Third Proportional to 34,368 and 75,000

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Solution

The third proportional to 34,368 and 75,000 is: 163,669.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,368 : 75,000 = 75,000 : x
  2. Step 2: Convert to fraction form
    34,368/75,000 = 75,000/x
  3. Step 3: Cross multiply
    34,368x = 75,000 × 75,000
  4. Step 4: Simplify right side
    34,368x = 5,625,000,000
  5. Step 5: Solve for x
    x = 5,625,000,000/34,368
  6. Step 6: Final answer
    x = 163,669.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.