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Finding the Third Proportional to 30,560.63 and 40,565.81

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Solution

The third proportional to 30,560.63 and 40,565.81 is: 53,846.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,560.63 : 40,565.81 = 40,565.81 : x
  2. Step 2: Convert to fraction form
    30,560.63/40,565.81 = 40,565.81/x
  3. Step 3: Cross multiply
    30,560.63x = 40,565.81 × 40,565.81
  4. Step 4: Simplify right side
    30,560.63x = 1,645,585,143.79
  5. Step 5: Solve for x
    x = 1,645,585,143.79/30,560.63
  6. Step 6: Final answer
    x = 53,846.58

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.