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Finding the Third Proportional to 9,117.56 and 21,143.53

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Solution

The third proportional to 9,117.56 and 21,143.53 is: 49,031.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,117.56 : 21,143.53 = 21,143.53 : x
  2. Step 2: Convert to fraction form
    9,117.56/21,143.53 = 21,143.53/x
  3. Step 3: Cross multiply
    9,117.56x = 21,143.53 × 21,143.53
  4. Step 4: Simplify right side
    9,117.56x = 447,048,913.72
  5. Step 5: Solve for x
    x = 447,048,913.72/9,117.56
  6. Step 6: Final answer
    x = 49,031.63

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.