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Finding the Third Proportional to 29,321 and 63,358

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Solution

The third proportional to 29,321 and 63,358 is: 136,906.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,321 : 63,358 = 63,358 : x
  2. Step 2: Convert to fraction form
    29,321/63,358 = 63,358/x
  3. Step 3: Cross multiply
    29,321x = 63,358 × 63,358
  4. Step 4: Simplify right side
    29,321x = 4,014,236,164
  5. Step 5: Solve for x
    x = 4,014,236,164/29,321
  6. Step 6: Final answer
    x = 136,906.52

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.