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Finding the Third Proportional to 13,775.06 and 23,464.69

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Solution

The third proportional to 13,775.06 and 23,464.69 is: 39,970.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,775.06 : 23,464.69 = 23,464.69 : x
  2. Step 2: Convert to fraction form
    13,775.06/23,464.69 = 23,464.69/x
  3. Step 3: Cross multiply
    13,775.06x = 23,464.69 × 23,464.69
  4. Step 4: Simplify right side
    13,775.06x = 550,591,559.47
  5. Step 5: Solve for x
    x = 550,591,559.47/13,775.06
  6. Step 6: Final answer
    x = 39,970.17

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Why These Related Problems?

These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.