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Finding the Third Proportional to 31,767 and 46,677

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Solution

The third proportional to 31,767 and 46,677 is: 68,585.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,767 : 46,677 = 46,677 : x
  2. Step 2: Convert to fraction form
    31,767/46,677 = 46,677/x
  3. Step 3: Cross multiply
    31,767x = 46,677 × 46,677
  4. Step 4: Simplify right side
    31,767x = 2,178,742,329
  5. Step 5: Solve for x
    x = 2,178,742,329/31,767
  6. Step 6: Final answer
    x = 68,585.08

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.