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Finding the Third Proportional to 29,554.88 and 64,858.22

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Solution

The third proportional to 29,554.88 and 64,858.22 is: 142,331.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,554.88 : 64,858.22 = 64,858.22 : x
  2. Step 2: Convert to fraction form
    29,554.88/64,858.22 = 64,858.22/x
  3. Step 3: Cross multiply
    29,554.88x = 64,858.22 × 64,858.22
  4. Step 4: Simplify right side
    29,554.88x = 4,206,588,539.42
  5. Step 5: Solve for x
    x = 4,206,588,539.42/29,554.88
  6. Step 6: Final answer
    x = 142,331.46

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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.