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Finding the Third Proportional to 9,639.84 and 14,581.27

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Solution

The third proportional to 9,639.84 and 14,581.27 is: 22,055.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,639.84 : 14,581.27 = 14,581.27 : x
  2. Step 2: Convert to fraction form
    9,639.84/14,581.27 = 14,581.27/x
  3. Step 3: Cross multiply
    9,639.84x = 14,581.27 × 14,581.27
  4. Step 4: Simplify right side
    9,639.84x = 212,613,307.23
  5. Step 5: Solve for x
    x = 212,613,307.23/9,639.84
  6. Step 6: Final answer
    x = 22,055.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.