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Finding the Third Proportional to 10,271.25 and 14,677.88

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Solution

The third proportional to 10,271.25 and 14,677.88 is: 20,975.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,271.25 : 14,677.88 = 14,677.88 : x
  2. Step 2: Convert to fraction form
    10,271.25/14,677.88 = 14,677.88/x
  3. Step 3: Cross multiply
    10,271.25x = 14,677.88 × 14,677.88
  4. Step 4: Simplify right side
    10,271.25x = 215,440,014.52
  5. Step 5: Solve for x
    x = 215,440,014.52/10,271.25
  6. Step 6: Final answer
    x = 20,975.05

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.