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Finding the Third Proportional to 40,402 and 58,803

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Solution

The third proportional to 40,402 and 58,803 is: 85,584.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,402 : 58,803 = 58,803 : x
  2. Step 2: Convert to fraction form
    40,402/58,803 = 58,803/x
  3. Step 3: Cross multiply
    40,402x = 58,803 × 58,803
  4. Step 4: Simplify right side
    40,402x = 3,457,792,809
  5. Step 5: Solve for x
    x = 3,457,792,809/40,402
  6. Step 6: Final answer
    x = 85,584.69

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.