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Finding the Third Proportional to 15,583.75 and 23,369.50

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Solution

The third proportional to 15,583.75 and 23,369.50 is: 35,045.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,583.75 : 23,369.50 = 23,369.50 : x
  2. Step 2: Convert to fraction form
    15,583.75/23,369.50 = 23,369.50/x
  3. Step 3: Cross multiply
    15,583.75x = 23,369.50 × 23,369.50
  4. Step 4: Simplify right side
    15,583.75x = 546,133,530.25
  5. Step 5: Solve for x
    x = 546,133,530.25/15,583.75
  6. Step 6: Final answer
    x = 35,045.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.