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Finding the Third Proportional to 9,465.19 and 21,574.69

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Solution

The third proportional to 9,465.19 and 21,574.69 is: 49,176.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,465.19 : 21,574.69 = 21,574.69 : x
  2. Step 2: Convert to fraction form
    9,465.19/21,574.69 = 21,574.69/x
  3. Step 3: Cross multiply
    9,465.19x = 21,574.69 × 21,574.69
  4. Step 4: Simplify right side
    9,465.19x = 465,467,140.72
  5. Step 5: Solve for x
    x = 465,467,140.72/9,465.19
  6. Step 6: Final answer
    x = 49,176.75

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.