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Finding the Third Proportional to 15,253 and 32,935

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Solution

The third proportional to 15,253 and 32,935 is: 71,114.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,253 : 32,935 = 32,935 : x
  2. Step 2: Convert to fraction form
    15,253/32,935 = 32,935/x
  3. Step 3: Cross multiply
    15,253x = 32,935 × 32,935
  4. Step 4: Simplify right side
    15,253x = 1,084,714,225
  5. Step 5: Solve for x
    x = 1,084,714,225/15,253
  6. Step 6: Final answer
    x = 71,114.81

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.