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Finding the Third Proportional to 32,433 and 49,313

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Solution

The third proportional to 32,433 and 49,313 is: 74,978.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,433 : 49,313 = 49,313 : x
  2. Step 2: Convert to fraction form
    32,433/49,313 = 49,313/x
  3. Step 3: Cross multiply
    32,433x = 49,313 × 49,313
  4. Step 4: Simplify right side
    32,433x = 2,431,771,969
  5. Step 5: Solve for x
    x = 2,431,771,969/32,433
  6. Step 6: Final answer
    x = 74,978.32

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.