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Finding the Third Proportional to 7,244 and 13,066

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Solution

The third proportional to 7,244 and 13,066 is: 23,567.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,244 : 13,066 = 13,066 : x
  2. Step 2: Convert to fraction form
    7,244/13,066 = 13,066/x
  3. Step 3: Cross multiply
    7,244x = 13,066 × 13,066
  4. Step 4: Simplify right side
    7,244x = 170,720,356
  5. Step 5: Solve for x
    x = 170,720,356/7,244
  6. Step 6: Final answer
    x = 23,567.14

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.