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Finding the Third Proportional to 9,358.13 and 13,688.06

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Solution

The third proportional to 9,358.13 and 13,688.06 is: 20,021.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,358.13 : 13,688.06 = 13,688.06 : x
  2. Step 2: Convert to fraction form
    9,358.13/13,688.06 = 13,688.06/x
  3. Step 3: Cross multiply
    9,358.13x = 13,688.06 × 13,688.06
  4. Step 4: Simplify right side
    9,358.13x = 187,363,055.00
  5. Step 5: Solve for x
    x = 187,363,055.00/9,358.13
  6. Step 6: Final answer
    x = 20,021.43

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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.