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Finding the Third Proportional to 9,609.75 and 14,827.50

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Solution

The third proportional to 9,609.75 and 14,827.50 is: 22,878.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,609.75 : 14,827.50 = 14,827.50 : x
  2. Step 2: Convert to fraction form
    9,609.75/14,827.50 = 14,827.50/x
  3. Step 3: Cross multiply
    9,609.75x = 14,827.50 × 14,827.50
  4. Step 4: Simplify right side
    9,609.75x = 219,854,756.25
  5. Step 5: Solve for x
    x = 219,854,756.25/9,609.75
  6. Step 6: Final answer
    x = 22,878.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.