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Finding the Third Proportional to 43,808 and 64,155

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Solution

The third proportional to 43,808 and 64,155 is: 93,952.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,808 : 64,155 = 64,155 : x
  2. Step 2: Convert to fraction form
    43,808/64,155 = 64,155/x
  3. Step 3: Cross multiply
    43,808x = 64,155 × 64,155
  4. Step 4: Simplify right side
    43,808x = 4,115,864,025
  5. Step 5: Solve for x
    x = 4,115,864,025/43,808
  6. Step 6: Final answer
    x = 93,952.34

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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.