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Finding the Third Proportional to 15,982.95 and 23,664.66

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Solution

The third proportional to 15,982.95 and 23,664.66 is: 35,038.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,982.95 : 23,664.66 = 23,664.66 : x
  2. Step 2: Convert to fraction form
    15,982.95/23,664.66 = 23,664.66/x
  3. Step 3: Cross multiply
    15,982.95x = 23,664.66 × 23,664.66
  4. Step 4: Simplify right side
    15,982.95x = 560,015,955.43
  5. Step 5: Solve for x
    x = 560,015,955.43/15,982.95
  6. Step 6: Final answer
    x = 35,038.35

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.