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Finding the Third Proportional to 4,389.19 and 10,714.78

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Solution

The third proportional to 4,389.19 and 10,714.78 is: 26,156.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,389.19 : 10,714.78 = 10,714.78 : x
  2. Step 2: Convert to fraction form
    4,389.19/10,714.78 = 10,714.78/x
  3. Step 3: Cross multiply
    4,389.19x = 10,714.78 × 10,714.78
  4. Step 4: Simplify right side
    4,389.19x = 114,806,537.24
  5. Step 5: Solve for x
    x = 114,806,537.24/4,389.19
  6. Step 6: Final answer
    x = 26,156.67

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Why These Related Problems?

These problems maintain the same ratio (2.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.