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Finding the Third Proportional to 9,411.13 and 13,762.88

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Solution

The third proportional to 9,411.13 and 13,762.88 is: 20,126.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,411.13 : 13,762.88 = 13,762.88 : x
  2. Step 2: Convert to fraction form
    9,411.13/13,762.88 = 13,762.88/x
  3. Step 3: Cross multiply
    9,411.13x = 13,762.88 × 13,762.88
  4. Step 4: Simplify right side
    9,411.13x = 189,416,728.27
  5. Step 5: Solve for x
    x = 189,416,728.27/9,411.13
  6. Step 6: Final answer
    x = 20,126.90

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.