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Finding the Third Proportional to 32,316 and 48,279

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Solution

The third proportional to 32,316 and 48,279 is: 72,127.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,316 : 48,279 = 48,279 : x
  2. Step 2: Convert to fraction form
    32,316/48,279 = 48,279/x
  3. Step 3: Cross multiply
    32,316x = 48,279 × 48,279
  4. Step 4: Simplify right side
    32,316x = 2,330,861,841
  5. Step 5: Solve for x
    x = 2,330,861,841/32,316
  6. Step 6: Final answer
    x = 72,127.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.