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Finding the Third Proportional to 30,816 and 44,038

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Solution

The third proportional to 30,816 and 44,038 is: 62,933.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,816 : 44,038 = 44,038 : x
  2. Step 2: Convert to fraction form
    30,816/44,038 = 44,038/x
  3. Step 3: Cross multiply
    30,816x = 44,038 × 44,038
  4. Step 4: Simplify right side
    30,816x = 1,939,345,444
  5. Step 5: Solve for x
    x = 1,939,345,444/30,816
  6. Step 6: Final answer
    x = 62,933.07

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.