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Finding the Third Proportional to 19,688 and 42,108

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Solution

The third proportional to 19,688 and 42,108 is: 90,059.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,688 : 42,108 = 42,108 : x
  2. Step 2: Convert to fraction form
    19,688/42,108 = 42,108/x
  3. Step 3: Cross multiply
    19,688x = 42,108 × 42,108
  4. Step 4: Simplify right side
    19,688x = 1,773,083,664
  5. Step 5: Solve for x
    x = 1,773,083,664/19,688
  6. Step 6: Final answer
    x = 90,059.11

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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.