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Finding the Third Proportional to 4,983.75 and 9,427.50

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Solution

The third proportional to 4,983.75 and 9,427.50 is: 17,833.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,983.75 : 9,427.50 = 9,427.50 : x
  2. Step 2: Convert to fraction form
    4,983.75/9,427.50 = 9,427.50/x
  3. Step 3: Cross multiply
    4,983.75x = 9,427.50 × 9,427.50
  4. Step 4: Simplify right side
    4,983.75x = 88,877,756.25
  5. Step 5: Solve for x
    x = 88,877,756.25/4,983.75
  6. Step 6: Final answer
    x = 17,833.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.89) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.