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Finding the Third Proportional to 9,245.25 and 14,210.25

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Solution

The third proportional to 9,245.25 and 14,210.25 is: 21,841.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,245.25 : 14,210.25 = 14,210.25 : x
  2. Step 2: Convert to fraction form
    9,245.25/14,210.25 = 14,210.25/x
  3. Step 3: Cross multiply
    9,245.25x = 14,210.25 × 14,210.25
  4. Step 4: Simplify right side
    9,245.25x = 201,931,205.06
  5. Step 5: Solve for x
    x = 201,931,205.06/9,245.25
  6. Step 6: Final answer
    x = 21,841.62

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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.