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Finding the Third Proportional to 44,752 and 69,076

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Solution

The third proportional to 44,752 and 69,076 is: 106,620.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,752 : 69,076 = 69,076 : x
  2. Step 2: Convert to fraction form
    44,752/69,076 = 69,076/x
  3. Step 3: Cross multiply
    44,752x = 69,076 × 69,076
  4. Step 4: Simplify right side
    44,752x = 4,771,493,776
  5. Step 5: Solve for x
    x = 4,771,493,776/44,752
  6. Step 6: Final answer
    x = 106,620.79

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.