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Finding the Third Proportional to 17,897.63 and 38,871

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Solution

The third proportional to 17,897.63 and 38,871 is: 84,422.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,897.63 : 38,871 = 38,871 : x
  2. Step 2: Convert to fraction form
    17,897.63/38,871 = 38,871/x
  3. Step 3: Cross multiply
    17,897.63x = 38,871 × 38,871
  4. Step 4: Simplify right side
    17,897.63x = 1,510,954,641
  5. Step 5: Solve for x
    x = 1,510,954,641/17,897.63
  6. Step 6: Final answer
    x = 84,422.08

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.