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Finding the Third Proportional to 30,931.88 and 66,750.75

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Solution

The third proportional to 30,931.88 and 66,750.75 is: 144,047.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,931.88 : 66,750.75 = 66,750.75 : x
  2. Step 2: Convert to fraction form
    30,931.88/66,750.75 = 66,750.75/x
  3. Step 3: Cross multiply
    30,931.88x = 66,750.75 × 66,750.75
  4. Step 4: Simplify right side
    30,931.88x = 4,455,662,625.56
  5. Step 5: Solve for x
    x = 4,455,662,625.56/30,931.88
  6. Step 6: Final answer
    x = 144,047.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.