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Finding the Third Proportional to 29,783.25 and 46,074.38

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Solution

The third proportional to 29,783.25 and 46,074.38 is: 71,276.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,783.25 : 46,074.38 = 46,074.38 : x
  2. Step 2: Convert to fraction form
    29,783.25/46,074.38 = 46,074.38/x
  3. Step 3: Cross multiply
    29,783.25x = 46,074.38 × 46,074.38
  4. Step 4: Simplify right side
    29,783.25x = 2,122,848,031.64
  5. Step 5: Solve for x
    x = 2,122,848,031.64/29,783.25
  6. Step 6: Final answer
    x = 71,276.57

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.