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Finding the Third Proportional to 21,095.44 and 45,889.88

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Solution

The third proportional to 21,095.44 and 45,889.88 is: 99,826.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,095.44 : 45,889.88 = 45,889.88 : x
  2. Step 2: Convert to fraction form
    21,095.44/45,889.88 = 45,889.88/x
  3. Step 3: Cross multiply
    21,095.44x = 45,889.88 × 45,889.88
  4. Step 4: Simplify right side
    21,095.44x = 2,105,880,627.52
  5. Step 5: Solve for x
    x = 2,105,880,627.52/21,095.44
  6. Step 6: Final answer
    x = 99,826.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.