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Finding the Third Proportional to 34,846 and 75,776

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Solution

The third proportional to 34,846 and 75,776 is: 164,782.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,846 : 75,776 = 75,776 : x
  2. Step 2: Convert to fraction form
    34,846/75,776 = 75,776/x
  3. Step 3: Cross multiply
    34,846x = 75,776 × 75,776
  4. Step 4: Simplify right side
    34,846x = 5,742,002,176
  5. Step 5: Solve for x
    x = 5,742,002,176/34,846
  6. Step 6: Final answer
    x = 164,782.25

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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.