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Finding the Third Proportional to 40,023 and 92,646

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Solution

The third proportional to 40,023 and 92,646 is: 214,458.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,023 : 92,646 = 92,646 : x
  2. Step 2: Convert to fraction form
    40,023/92,646 = 92,646/x
  3. Step 3: Cross multiply
    40,023x = 92,646 × 92,646
  4. Step 4: Simplify right side
    40,023x = 8,583,281,316
  5. Step 5: Solve for x
    x = 8,583,281,316/40,023
  6. Step 6: Final answer
    x = 214,458.72

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.