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Finding the Third Proportional to 16,148.50 and 23,583.75

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Solution

The third proportional to 16,148.50 and 23,583.75 is: 34,442.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,148.50 : 23,583.75 = 23,583.75 : x
  2. Step 2: Convert to fraction form
    16,148.50/23,583.75 = 23,583.75/x
  3. Step 3: Cross multiply
    16,148.50x = 23,583.75 × 23,583.75
  4. Step 4: Simplify right side
    16,148.50x = 556,193,264.06
  5. Step 5: Solve for x
    x = 556,193,264.06/16,148.50
  6. Step 6: Final answer
    x = 34,442.41

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.