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Finding the Third Proportional to 43,788 and 64,146

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Solution

The third proportional to 43,788 and 64,146 is: 93,968.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,788 : 64,146 = 64,146 : x
  2. Step 2: Convert to fraction form
    43,788/64,146 = 64,146/x
  3. Step 3: Cross multiply
    43,788x = 64,146 × 64,146
  4. Step 4: Simplify right side
    43,788x = 4,114,709,316
  5. Step 5: Solve for x
    x = 4,114,709,316/43,788
  6. Step 6: Final answer
    x = 93,968.88

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.