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Finding the Third Proportional to 29,556 and 65,673

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Solution

The third proportional to 29,556 and 65,673 is: 145,924.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,556 : 65,673 = 65,673 : x
  2. Step 2: Convert to fraction form
    29,556/65,673 = 65,673/x
  3. Step 3: Cross multiply
    29,556x = 65,673 × 65,673
  4. Step 4: Simplify right side
    29,556x = 4,312,942,929
  5. Step 5: Solve for x
    x = 4,312,942,929/29,556
  6. Step 6: Final answer
    x = 145,924.45

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.