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Finding the Third Proportional to 15,882 and 26,647.50

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Solution

The third proportional to 15,882 and 26,647.50 is: 44,710.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,882 : 26,647.50 = 26,647.50 : x
  2. Step 2: Convert to fraction form
    15,882/26,647.50 = 26,647.50/x
  3. Step 3: Cross multiply
    15,882x = 26,647.50 × 26,647.50
  4. Step 4: Simplify right side
    15,882x = 710,089,256.25
  5. Step 5: Solve for x
    x = 710,089,256.25/15,882
  6. Step 6: Final answer
    x = 44,710.32

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Why These Related Problems?

These problems maintain the same ratio (1.68) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.