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Finding the Third Proportional to 14,688 and 31,767

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Solution

The third proportional to 14,688 and 31,767 is: 68,705.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,688 : 31,767 = 31,767 : x
  2. Step 2: Convert to fraction form
    14,688/31,767 = 31,767/x
  3. Step 3: Cross multiply
    14,688x = 31,767 × 31,767
  4. Step 4: Simplify right side
    14,688x = 1,009,142,289
  5. Step 5: Solve for x
    x = 1,009,142,289/14,688
  6. Step 6: Final answer
    x = 68,705.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.