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Finding the Third Proportional to 32,347.41 and 69,888.94

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Solution

The third proportional to 32,347.41 and 69,888.94 is: 151,000.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,347.41 : 69,888.94 = 69,888.94 : x
  2. Step 2: Convert to fraction form
    32,347.41/69,888.94 = 69,888.94/x
  3. Step 3: Cross multiply
    32,347.41x = 69,888.94 × 69,888.94
  4. Step 4: Simplify right side
    32,347.41x = 4,884,463,584.88
  5. Step 5: Solve for x
    x = 4,884,463,584.88/32,347.41
  6. Step 6: Final answer
    x = 151,000.16

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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.