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Finding the Third Proportional to 29,896 and 45,640

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Solution

The third proportional to 29,896 and 45,640 is: 69,675.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,896 : 45,640 = 45,640 : x
  2. Step 2: Convert to fraction form
    29,896/45,640 = 45,640/x
  3. Step 3: Cross multiply
    29,896x = 45,640 × 45,640
  4. Step 4: Simplify right side
    29,896x = 2,083,009,600
  5. Step 5: Solve for x
    x = 2,083,009,600/29,896
  6. Step 6: Final answer
    x = 69,675.19

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.