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Finding the Third Proportional to 30,360 and 45,964.50

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Solution

The third proportional to 30,360 and 45,964.50 is: 69,589.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,360 : 45,964.50 = 45,964.50 : x
  2. Step 2: Convert to fraction form
    30,360/45,964.50 = 45,964.50/x
  3. Step 3: Cross multiply
    30,360x = 45,964.50 × 45,964.50
  4. Step 4: Simplify right side
    30,360x = 2,112,735,260.25
  5. Step 5: Solve for x
    x = 2,112,735,260.25/30,360
  6. Step 6: Final answer
    x = 69,589.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.