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Finding the Third Proportional to 30,291.75 and 46,497.38

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Solution

The third proportional to 30,291.75 and 46,497.38 is: 71,372.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,291.75 : 46,497.38 = 46,497.38 : x
  2. Step 2: Convert to fraction form
    30,291.75/46,497.38 = 46,497.38/x
  3. Step 3: Cross multiply
    30,291.75x = 46,497.38 × 46,497.38
  4. Step 4: Simplify right side
    30,291.75x = 2,162,005,881.89
  5. Step 5: Solve for x
    x = 2,162,005,881.89/30,291.75
  6. Step 6: Final answer
    x = 71,372.76

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.