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Finding the Third Proportional to 10,297.13 and 23,726.67

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Solution

The third proportional to 10,297.13 and 23,726.67 is: 54,671.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,297.13 : 23,726.67 = 23,726.67 : x
  2. Step 2: Convert to fraction form
    10,297.13/23,726.67 = 23,726.67/x
  3. Step 3: Cross multiply
    10,297.13x = 23,726.67 × 23,726.67
  4. Step 4: Simplify right side
    10,297.13x = 562,954,958.26
  5. Step 5: Solve for x
    x = 562,954,958.26/10,297.13
  6. Step 6: Final answer
    x = 54,671.08

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.