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Finding the Third Proportional to 11,508.50 and 24,828.25

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Solution

The third proportional to 11,508.50 and 24,828.25 is: 53,564.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,508.50 : 24,828.25 = 24,828.25 : x
  2. Step 2: Convert to fraction form
    11,508.50/24,828.25 = 24,828.25/x
  3. Step 3: Cross multiply
    11,508.50x = 24,828.25 × 24,828.25
  4. Step 4: Simplify right side
    11,508.50x = 616,441,998.06
  5. Step 5: Solve for x
    x = 616,441,998.06/11,508.50
  6. Step 6: Final answer
    x = 53,564.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.