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Finding the Third Proportional to 44,924 and 69,260

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Solution

The third proportional to 44,924 and 69,260 is: 106,779.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,924 : 69,260 = 69,260 : x
  2. Step 2: Convert to fraction form
    44,924/69,260 = 69,260/x
  3. Step 3: Cross multiply
    44,924x = 69,260 × 69,260
  4. Step 4: Simplify right side
    44,924x = 4,796,947,600
  5. Step 5: Solve for x
    x = 4,796,947,600/44,924
  6. Step 6: Final answer
    x = 106,779.17

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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.