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Finding the Third Proportional to 30,005.44 and 64,384.88

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Solution

The third proportional to 30,005.44 and 64,384.88 is: 138,155.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,005.44 : 64,384.88 = 64,384.88 : x
  2. Step 2: Convert to fraction form
    30,005.44/64,384.88 = 64,384.88/x
  3. Step 3: Cross multiply
    30,005.44x = 64,384.88 × 64,384.88
  4. Step 4: Simplify right side
    30,005.44x = 4,145,412,128.77
  5. Step 5: Solve for x
    x = 4,145,412,128.77/30,005.44
  6. Step 6: Final answer
    x = 138,155.36

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.