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Finding the Third Proportional to 29,703 and 63,222

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Solution

The third proportional to 29,703 and 63,222 is: 134,566.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,703 : 63,222 = 63,222 : x
  2. Step 2: Convert to fraction form
    29,703/63,222 = 63,222/x
  3. Step 3: Cross multiply
    29,703x = 63,222 × 63,222
  4. Step 4: Simplify right side
    29,703x = 3,997,021,284
  5. Step 5: Solve for x
    x = 3,997,021,284/29,703
  6. Step 6: Final answer
    x = 134,566.25

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.