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Finding the Third Proportional to 31,303.75 and 46,955.75

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Solution

The third proportional to 31,303.75 and 46,955.75 is: 70,433.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,303.75 : 46,955.75 = 46,955.75 : x
  2. Step 2: Convert to fraction form
    31,303.75/46,955.75 = 46,955.75/x
  3. Step 3: Cross multiply
    31,303.75x = 46,955.75 × 46,955.75
  4. Step 4: Simplify right side
    31,303.75x = 2,204,842,458.06
  5. Step 5: Solve for x
    x = 2,204,842,458.06/31,303.75
  6. Step 6: Final answer
    x = 70,433.81

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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.