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Finding the Third Proportional to 9,464.63 and 13,852.69

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Solution

The third proportional to 9,464.63 and 13,852.69 is: 20,275.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,464.63 : 13,852.69 = 13,852.69 : x
  2. Step 2: Convert to fraction form
    9,464.63/13,852.69 = 13,852.69/x
  3. Step 3: Cross multiply
    9,464.63x = 13,852.69 × 13,852.69
  4. Step 4: Simplify right side
    9,464.63x = 191,896,950.97
  5. Step 5: Solve for x
    x = 191,896,950.97/9,464.63
  6. Step 6: Final answer
    x = 20,275.18

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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.