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Finding the Third Proportional to 32,888 and 46,538

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Solution

The third proportional to 32,888 and 46,538 is: 65,853.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,888 : 46,538 = 46,538 : x
  2. Step 2: Convert to fraction form
    32,888/46,538 = 46,538/x
  3. Step 3: Cross multiply
    32,888x = 46,538 × 46,538
  4. Step 4: Simplify right side
    32,888x = 2,165,785,444
  5. Step 5: Solve for x
    x = 2,165,785,444/32,888
  6. Step 6: Final answer
    x = 65,853.36

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.