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Finding the Third Proportional to 30,025.13 and 46,500.75

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Solution

The third proportional to 30,025.13 and 46,500.75 is: 72,017.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,025.13 : 46,500.75 = 46,500.75 : x
  2. Step 2: Convert to fraction form
    30,025.13/46,500.75 = 46,500.75/x
  3. Step 3: Cross multiply
    30,025.13x = 46,500.75 × 46,500.75
  4. Step 4: Simplify right side
    30,025.13x = 2,162,319,750.56
  5. Step 5: Solve for x
    x = 2,162,319,750.56/30,025.13
  6. Step 6: Final answer
    x = 72,017.01

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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.