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Finding the Third Proportional to 29,688 and 63,228

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Solution

The third proportional to 29,688 and 63,228 is: 134,659.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,688 : 63,228 = 63,228 : x
  2. Step 2: Convert to fraction form
    29,688/63,228 = 63,228/x
  3. Step 3: Cross multiply
    29,688x = 63,228 × 63,228
  4. Step 4: Simplify right side
    29,688x = 3,997,779,984
  5. Step 5: Solve for x
    x = 3,997,779,984/29,688
  6. Step 6: Final answer
    x = 134,659.79

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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.