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Finding the Third Proportional to 17,001 and 24,961.50

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Solution

The third proportional to 17,001 and 24,961.50 is: 36,649.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,001 : 24,961.50 = 24,961.50 : x
  2. Step 2: Convert to fraction form
    17,001/24,961.50 = 24,961.50/x
  3. Step 3: Cross multiply
    17,001x = 24,961.50 × 24,961.50
  4. Step 4: Simplify right side
    17,001x = 623,076,482.25
  5. Step 5: Solve for x
    x = 623,076,482.25/17,001
  6. Step 6: Final answer
    x = 36,649.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.