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Finding the Third Proportional to 22,371 and 46,895.25

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Solution

The third proportional to 22,371 and 46,895.25 is: 98,304.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,371 : 46,895.25 = 46,895.25 : x
  2. Step 2: Convert to fraction form
    22,371/46,895.25 = 46,895.25/x
  3. Step 3: Cross multiply
    22,371x = 46,895.25 × 46,895.25
  4. Step 4: Simplify right side
    22,371x = 2,199,164,472.56
  5. Step 5: Solve for x
    x = 2,199,164,472.56/22,371
  6. Step 6: Final answer
    x = 98,304.25

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.