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Finding the Third Proportional to 9,975 and 14,962.50

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Solution

The third proportional to 9,975 and 14,962.50 is: 22,443.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,975 : 14,962.50 = 14,962.50 : x
  2. Step 2: Convert to fraction form
    9,975/14,962.50 = 14,962.50/x
  3. Step 3: Cross multiply
    9,975x = 14,962.50 × 14,962.50
  4. Step 4: Simplify right side
    9,975x = 223,876,406.25
  5. Step 5: Solve for x
    x = 223,876,406.25/9,975
  6. Step 6: Final answer
    x = 22,443.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.