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Finding the Third Proportional to 44,604 and 69,066

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Solution

The third proportional to 44,604 and 69,066 is: 106,943.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,604 : 69,066 = 69,066 : x
  2. Step 2: Convert to fraction form
    44,604/69,066 = 69,066/x
  3. Step 3: Cross multiply
    44,604x = 69,066 × 69,066
  4. Step 4: Simplify right side
    44,604x = 4,770,112,356
  5. Step 5: Solve for x
    x = 4,770,112,356/44,604
  6. Step 6: Final answer
    x = 106,943.60

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.