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Finding the Third Proportional to 32,398 and 52,904

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Solution

The third proportional to 32,398 and 52,904 is: 86,389.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,398 : 52,904 = 52,904 : x
  2. Step 2: Convert to fraction form
    32,398/52,904 = 52,904/x
  3. Step 3: Cross multiply
    32,398x = 52,904 × 52,904
  4. Step 4: Simplify right side
    32,398x = 2,798,833,216
  5. Step 5: Solve for x
    x = 2,798,833,216/32,398
  6. Step 6: Final answer
    x = 86,389.07

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.