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Finding the Third Proportional to 45,652 and 64,101

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Solution

The third proportional to 45,652 and 64,101 is: 90,005.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,652 : 64,101 = 64,101 : x
  2. Step 2: Convert to fraction form
    45,652/64,101 = 64,101/x
  3. Step 3: Cross multiply
    45,652x = 64,101 × 64,101
  4. Step 4: Simplify right side
    45,652x = 4,108,938,201
  5. Step 5: Solve for x
    x = 4,108,938,201/45,652
  6. Step 6: Final answer
    x = 90,005.66

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.