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Finding the Third Proportional to 32,904 and 72,348

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Solution

The third proportional to 32,904 and 72,348 is: 159,075.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,904 : 72,348 = 72,348 : x
  2. Step 2: Convert to fraction form
    32,904/72,348 = 72,348/x
  3. Step 3: Cross multiply
    32,904x = 72,348 × 72,348
  4. Step 4: Simplify right side
    32,904x = 5,234,233,104
  5. Step 5: Solve for x
    x = 5,234,233,104/32,904
  6. Step 6: Final answer
    x = 159,075.89

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.