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Finding the Third Proportional to 29,961.56 and 64,594.97

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Solution

The third proportional to 29,961.56 and 64,594.97 is: 139,262.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,961.56 : 64,594.97 = 64,594.97 : x
  2. Step 2: Convert to fraction form
    29,961.56/64,594.97 = 64,594.97/x
  3. Step 3: Cross multiply
    29,961.56x = 64,594.97 × 64,594.97
  4. Step 4: Simplify right side
    29,961.56x = 4,172,509,987.81
  5. Step 5: Solve for x
    x = 4,172,509,987.81/29,961.56
  6. Step 6: Final answer
    x = 139,262.10

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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.