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Finding the Third Proportional to 19,012 and 40,688

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Solution

The third proportional to 19,012 and 40,688 is: 87,077.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,012 : 40,688 = 40,688 : x
  2. Step 2: Convert to fraction form
    19,012/40,688 = 40,688/x
  3. Step 3: Cross multiply
    19,012x = 40,688 × 40,688
  4. Step 4: Simplify right side
    19,012x = 1,655,513,344
  5. Step 5: Solve for x
    x = 1,655,513,344/19,012
  6. Step 6: Final answer
    x = 87,077.29

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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.