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Finding the Third Proportional to 15,946.88 and 23,738.06

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Solution

The third proportional to 15,946.88 and 23,738.06 is: 35,335.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,946.88 : 23,738.06 = 23,738.06 : x
  2. Step 2: Convert to fraction form
    15,946.88/23,738.06 = 23,738.06/x
  3. Step 3: Cross multiply
    15,946.88x = 23,738.06 × 23,738.06
  4. Step 4: Simplify right side
    15,946.88x = 563,495,611.25
  5. Step 5: Solve for x
    x = 563,495,611.25/15,946.88
  6. Step 6: Final answer
    x = 35,335.80

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.