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Finding the Third Proportional to 37,595 and 78,289

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Solution

The third proportional to 37,595 and 78,289 is: 163,031.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,595 : 78,289 = 78,289 : x
  2. Step 2: Convert to fraction form
    37,595/78,289 = 78,289/x
  3. Step 3: Cross multiply
    37,595x = 78,289 × 78,289
  4. Step 4: Simplify right side
    37,595x = 6,129,167,521
  5. Step 5: Solve for x
    x = 6,129,167,521/37,595
  6. Step 6: Final answer
    x = 163,031.45

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.