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Finding the Third Proportional to 21,894.75 and 34,675.13

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Solution

The third proportional to 21,894.75 and 34,675.13 is: 54,915.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,894.75 : 34,675.13 = 34,675.13 : x
  2. Step 2: Convert to fraction form
    21,894.75/34,675.13 = 34,675.13/x
  3. Step 3: Cross multiply
    21,894.75x = 34,675.13 × 34,675.13
  4. Step 4: Simplify right side
    21,894.75x = 1,202,364,293.77
  5. Step 5: Solve for x
    x = 1,202,364,293.77/21,894.75
  6. Step 6: Final answer
    x = 54,915.64

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.