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Finding the Third Proportional to 19,461 and 41,688

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Solution

The third proportional to 19,461 and 41,688 is: 89,301.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,461 : 41,688 = 41,688 : x
  2. Step 2: Convert to fraction form
    19,461/41,688 = 41,688/x
  3. Step 3: Cross multiply
    19,461x = 41,688 × 41,688
  4. Step 4: Simplify right side
    19,461x = 1,737,889,344
  5. Step 5: Solve for x
    x = 1,737,889,344/19,461
  6. Step 6: Final answer
    x = 89,301.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.