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Finding the Third Proportional to 30,563.06 and 46,752.75

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Solution

The third proportional to 30,563.06 and 46,752.75 is: 71,518.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,563.06 : 46,752.75 = 46,752.75 : x
  2. Step 2: Convert to fraction form
    30,563.06/46,752.75 = 46,752.75/x
  3. Step 3: Cross multiply
    30,563.06x = 46,752.75 × 46,752.75
  4. Step 4: Simplify right side
    30,563.06x = 2,185,819,632.56
  5. Step 5: Solve for x
    x = 2,185,819,632.56/30,563.06
  6. Step 6: Final answer
    x = 71,518.34

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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.