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Finding the Third Proportional to 29,783 and 40,955

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Solution

The third proportional to 29,783 and 40,955 is: 56,317.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,783 : 40,955 = 40,955 : x
  2. Step 2: Convert to fraction form
    29,783/40,955 = 40,955/x
  3. Step 3: Cross multiply
    29,783x = 40,955 × 40,955
  4. Step 4: Simplify right side
    29,783x = 1,677,312,025
  5. Step 5: Solve for x
    x = 1,677,312,025/29,783
  6. Step 6: Final answer
    x = 56,317.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.