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Finding the Third Proportional to 21,261 and 29,724

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Solution

The third proportional to 21,261 and 29,724 is: 41,555.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,261 : 29,724 = 29,724 : x
  2. Step 2: Convert to fraction form
    21,261/29,724 = 29,724/x
  3. Step 3: Cross multiply
    21,261x = 29,724 × 29,724
  4. Step 4: Simplify right side
    21,261x = 883,516,176
  5. Step 5: Solve for x
    x = 883,516,176/21,261
  6. Step 6: Final answer
    x = 41,555.72

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.