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Finding the Third Proportional to 29,826.84 and 64,323.84

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Solution

The third proportional to 29,826.84 and 64,323.84 is: 138,719.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,826.84 : 64,323.84 = 64,323.84 : x
  2. Step 2: Convert to fraction form
    29,826.84/64,323.84 = 64,323.84/x
  3. Step 3: Cross multiply
    29,826.84x = 64,323.84 × 64,323.84
  4. Step 4: Simplify right side
    29,826.84x = 4,137,556,874.77
  5. Step 5: Solve for x
    x = 4,137,556,874.77/29,826.84
  6. Step 6: Final answer
    x = 138,719.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.