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Finding the Third Proportional to 29,421.98 and 64,345.64

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Solution

The third proportional to 29,421.98 and 64,345.64 is: 140,723.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,421.98 : 64,345.64 = 64,345.64 : x
  2. Step 2: Convert to fraction form
    29,421.98/64,345.64 = 64,345.64/x
  3. Step 3: Cross multiply
    29,421.98x = 64,345.64 × 64,345.64
  4. Step 4: Simplify right side
    29,421.98x = 4,140,361,467.44
  5. Step 5: Solve for x
    x = 4,140,361,467.44/29,421.98
  6. Step 6: Final answer
    x = 140,723.39

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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.