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Finding the Third Proportional to 30,521.81 and 45,751.08

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Solution

The third proportional to 30,521.81 and 45,751.08 is: 68,579.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,521.81 : 45,751.08 = 45,751.08 : x
  2. Step 2: Convert to fraction form
    30,521.81/45,751.08 = 45,751.08/x
  3. Step 3: Cross multiply
    30,521.81x = 45,751.08 × 45,751.08
  4. Step 4: Simplify right side
    30,521.81x = 2,093,161,149.60
  5. Step 5: Solve for x
    x = 2,093,161,149.60/30,521.81
  6. Step 6: Final answer
    x = 68,579.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.