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Finding the Third Proportional to 29,584 and 64,906

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Solution

The third proportional to 29,584 and 64,906 is: 142,400.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,584 : 64,906 = 64,906 : x
  2. Step 2: Convert to fraction form
    29,584/64,906 = 64,906/x
  3. Step 3: Cross multiply
    29,584x = 64,906 × 64,906
  4. Step 4: Simplify right side
    29,584x = 4,212,788,836
  5. Step 5: Solve for x
    x = 4,212,788,836/29,584
  6. Step 6: Final answer
    x = 142,400.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.