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Finding the Third Proportional to 38,897 and 42,907

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Solution

The third proportional to 38,897 and 42,907 is: 47,330.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,897 : 42,907 = 42,907 : x
  2. Step 2: Convert to fraction form
    38,897/42,907 = 42,907/x
  3. Step 3: Cross multiply
    38,897x = 42,907 × 42,907
  4. Step 4: Simplify right side
    38,897x = 1,841,010,649
  5. Step 5: Solve for x
    x = 1,841,010,649/38,897
  6. Step 6: Final answer
    x = 47,330.40

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.