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Finding the Third Proportional to 29,584 and 64,627

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Solution

The third proportional to 29,584 and 64,627 is: 141,179.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,584 : 64,627 = 64,627 : x
  2. Step 2: Convert to fraction form
    29,584/64,627 = 64,627/x
  3. Step 3: Cross multiply
    29,584x = 64,627 × 64,627
  4. Step 4: Simplify right side
    29,584x = 4,176,649,129
  5. Step 5: Solve for x
    x = 4,176,649,129/29,584
  6. Step 6: Final answer
    x = 141,179.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.