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Finding the Third Proportional to 9,697 and 20,878.50

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Solution

The third proportional to 9,697 and 20,878.50 is: 44,953.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,697 : 20,878.50 = 20,878.50 : x
  2. Step 2: Convert to fraction form
    9,697/20,878.50 = 20,878.50/x
  3. Step 3: Cross multiply
    9,697x = 20,878.50 × 20,878.50
  4. Step 4: Simplify right side
    9,697x = 435,911,762.25
  5. Step 5: Solve for x
    x = 435,911,762.25/9,697
  6. Step 6: Final answer
    x = 44,953.26

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.