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Finding the Third Proportional to 40,301 and 56,653

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Solution

The third proportional to 40,301 and 56,653 is: 79,639.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,301 : 56,653 = 56,653 : x
  2. Step 2: Convert to fraction form
    40,301/56,653 = 56,653/x
  3. Step 3: Cross multiply
    40,301x = 56,653 × 56,653
  4. Step 4: Simplify right side
    40,301x = 3,209,562,409
  5. Step 5: Solve for x
    x = 3,209,562,409/40,301
  6. Step 6: Final answer
    x = 79,639.77

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.