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Finding the Third Proportional to 35,914 and 77,564

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Solution

The third proportional to 35,914 and 77,564 is: 167,516.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,914 : 77,564 = 77,564 : x
  2. Step 2: Convert to fraction form
    35,914/77,564 = 77,564/x
  3. Step 3: Cross multiply
    35,914x = 77,564 × 77,564
  4. Step 4: Simplify right side
    35,914x = 6,016,174,096
  5. Step 5: Solve for x
    x = 6,016,174,096/35,914
  6. Step 6: Final answer
    x = 167,516.12

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.