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Finding the Third Proportional to 19,700 and 42,167

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Solution

The third proportional to 19,700 and 42,167 is: 90,256.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,700 : 42,167 = 42,167 : x
  2. Step 2: Convert to fraction form
    19,700/42,167 = 42,167/x
  3. Step 3: Cross multiply
    19,700x = 42,167 × 42,167
  4. Step 4: Simplify right side
    19,700x = 1,778,055,889
  5. Step 5: Solve for x
    x = 1,778,055,889/19,700
  6. Step 6: Final answer
    x = 90,256.64

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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.