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Finding the Third Proportional to 40,713 and 64,622.25

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Solution

The third proportional to 40,713 and 64,622.25 is: 102,572.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,713 : 64,622.25 = 64,622.25 : x
  2. Step 2: Convert to fraction form
    40,713/64,622.25 = 64,622.25/x
  3. Step 3: Cross multiply
    40,713x = 64,622.25 × 64,622.25
  4. Step 4: Simplify right side
    40,713x = 4,176,035,195.06
  5. Step 5: Solve for x
    x = 4,176,035,195.06/40,713
  6. Step 6: Final answer
    x = 102,572.52

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.