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Finding the Third Proportional to 12,097.13 and 24,680.25

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Solution

The third proportional to 12,097.13 and 24,680.25 is: 50,352.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,097.13 : 24,680.25 = 24,680.25 : x
  2. Step 2: Convert to fraction form
    12,097.13/24,680.25 = 24,680.25/x
  3. Step 3: Cross multiply
    12,097.13x = 24,680.25 × 24,680.25
  4. Step 4: Simplify right side
    12,097.13x = 609,114,740.06
  5. Step 5: Solve for x
    x = 609,114,740.06/12,097.13
  6. Step 6: Final answer
    x = 50,352.02

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.