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Finding the Third Proportional to 9,574.03 and 14,039.16

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Solution

The third proportional to 9,574.03 and 14,039.16 is: 20,586.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,574.03 : 14,039.16 = 14,039.16 : x
  2. Step 2: Convert to fraction form
    9,574.03/14,039.16 = 14,039.16/x
  3. Step 3: Cross multiply
    9,574.03x = 14,039.16 × 14,039.16
  4. Step 4: Simplify right side
    9,574.03x = 197,097,908.21
  5. Step 5: Solve for x
    x = 197,097,908.21/9,574.03
  6. Step 6: Final answer
    x = 20,586.72

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.