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Finding the Third Proportional to 29,688 and 64,842

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Solution

The third proportional to 29,688 and 64,842 is: 141,622.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,688 : 64,842 = 64,842 : x
  2. Step 2: Convert to fraction form
    29,688/64,842 = 64,842/x
  3. Step 3: Cross multiply
    29,688x = 64,842 × 64,842
  4. Step 4: Simplify right side
    29,688x = 4,204,484,964
  5. Step 5: Solve for x
    x = 4,204,484,964/29,688
  6. Step 6: Final answer
    x = 141,622.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.