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Finding the Third Proportional to 23,193 and 29,038.50

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Solution

The third proportional to 23,193 and 29,038.50 is: 36,357.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,193 : 29,038.50 = 29,038.50 : x
  2. Step 2: Convert to fraction form
    23,193/29,038.50 = 29,038.50/x
  3. Step 3: Cross multiply
    23,193x = 29,038.50 × 29,038.50
  4. Step 4: Simplify right side
    23,193x = 843,234,482.25
  5. Step 5: Solve for x
    x = 843,234,482.25/23,193
  6. Step 6: Final answer
    x = 36,357.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.