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Finding the Third Proportional to 8,749.41 and 13,448.25

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Solution

The third proportional to 8,749.41 and 13,448.25 is: 20,670.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,749.41 : 13,448.25 = 13,448.25 : x
  2. Step 2: Convert to fraction form
    8,749.41/13,448.25 = 13,448.25/x
  3. Step 3: Cross multiply
    8,749.41x = 13,448.25 × 13,448.25
  4. Step 4: Simplify right side
    8,749.41x = 180,855,428.06
  5. Step 5: Solve for x
    x = 180,855,428.06/8,749.41
  6. Step 6: Final answer
    x = 20,670.59

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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.