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Finding the Third Proportional to 29,746 and 43,796

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Solution

The third proportional to 29,746 and 43,796 is: 64,482.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,746 : 43,796 = 43,796 : x
  2. Step 2: Convert to fraction form
    29,746/43,796 = 43,796/x
  3. Step 3: Cross multiply
    29,746x = 43,796 × 43,796
  4. Step 4: Simplify right side
    29,746x = 1,918,089,616
  5. Step 5: Solve for x
    x = 1,918,089,616/29,746
  6. Step 6: Final answer
    x = 64,482.27

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.