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Finding the Third Proportional to 19,688 and 42,292

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Solution

The third proportional to 19,688 and 42,292 is: 90,847.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,688 : 42,292 = 42,292 : x
  2. Step 2: Convert to fraction form
    19,688/42,292 = 42,292/x
  3. Step 3: Cross multiply
    19,688x = 42,292 × 42,292
  4. Step 4: Simplify right side
    19,688x = 1,788,613,264
  5. Step 5: Solve for x
    x = 1,788,613,264/19,688
  6. Step 6: Final answer
    x = 90,847.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.