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Finding the Third Proportional to 4,998 and 8,158.50

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Solution

The third proportional to 4,998 and 8,158.50 is: 13,317.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,998 : 8,158.50 = 8,158.50 : x
  2. Step 2: Convert to fraction form
    4,998/8,158.50 = 8,158.50/x
  3. Step 3: Cross multiply
    4,998x = 8,158.50 × 8,158.50
  4. Step 4: Simplify right side
    4,998x = 66,561,122.25
  5. Step 5: Solve for x
    x = 66,561,122.25/4,998
  6. Step 6: Final answer
    x = 13,317.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.