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Finding the Third Proportional to 14,990 and 32,860

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Solution

The third proportional to 14,990 and 32,860 is: 72,033.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,990 : 32,860 = 32,860 : x
  2. Step 2: Convert to fraction form
    14,990/32,860 = 32,860/x
  3. Step 3: Cross multiply
    14,990x = 32,860 × 32,860
  4. Step 4: Simplify right side
    14,990x = 1,079,779,600
  5. Step 5: Solve for x
    x = 1,079,779,600/14,990
  6. Step 6: Final answer
    x = 72,033.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.