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Finding the Third Proportional to 32,556 and 69,110.25

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Solution

The third proportional to 32,556 and 69,110.25 is: 146,708.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,556 : 69,110.25 = 69,110.25 : x
  2. Step 2: Convert to fraction form
    32,556/69,110.25 = 69,110.25/x
  3. Step 3: Cross multiply
    32,556x = 69,110.25 × 69,110.25
  4. Step 4: Simplify right side
    32,556x = 4,776,226,655.06
  5. Step 5: Solve for x
    x = 4,776,226,655.06/32,556
  6. Step 6: Final answer
    x = 146,708.03

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.