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Finding the Third Proportional to 21,141 and 29,585.25

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Solution

The third proportional to 21,141 and 29,585.25 is: 41,402.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,141 : 29,585.25 = 29,585.25 : x
  2. Step 2: Convert to fraction form
    21,141/29,585.25 = 29,585.25/x
  3. Step 3: Cross multiply
    21,141x = 29,585.25 × 29,585.25
  4. Step 4: Simplify right side
    21,141x = 875,287,017.56
  5. Step 5: Solve for x
    x = 875,287,017.56/21,141
  6. Step 6: Final answer
    x = 41,402.35

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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.