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Finding the Third Proportional to 19,688.63 and 43,205.63

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Solution

The third proportional to 19,688.63 and 43,205.63 is: 94,812.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,688.63 : 43,205.63 = 43,205.63 : x
  2. Step 2: Convert to fraction form
    19,688.63/43,205.63 = 43,205.63/x
  3. Step 3: Cross multiply
    19,688.63x = 43,205.63 × 43,205.63
  4. Step 4: Simplify right side
    19,688.63x = 1,866,726,031.64
  5. Step 5: Solve for x
    x = 1,866,726,031.64/19,688.63
  6. Step 6: Final answer
    x = 94,812.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.