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Finding the Third Proportional to 29,904 and 45,584

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Solution

The third proportional to 29,904 and 45,584 is: 69,485.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,904 : 45,584 = 45,584 : x
  2. Step 2: Convert to fraction form
    29,904/45,584 = 45,584/x
  3. Step 3: Cross multiply
    29,904x = 45,584 × 45,584
  4. Step 4: Simplify right side
    29,904x = 2,077,901,056
  5. Step 5: Solve for x
    x = 2,077,901,056/29,904
  6. Step 6: Final answer
    x = 69,485.72

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.