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Finding the Third Proportional to 34,437 and 50,475.75

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Solution

The third proportional to 34,437 and 50,475.75 is: 73,984.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,437 : 50,475.75 = 50,475.75 : x
  2. Step 2: Convert to fraction form
    34,437/50,475.75 = 50,475.75/x
  3. Step 3: Cross multiply
    34,437x = 50,475.75 × 50,475.75
  4. Step 4: Simplify right side
    34,437x = 2,547,801,338.06
  5. Step 5: Solve for x
    x = 2,547,801,338.06/34,437
  6. Step 6: Final answer
    x = 73,984.42

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.