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Finding the Third Proportional to 29,688 and 46,174

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Solution

The third proportional to 29,688 and 46,174 is: 71,814.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,688 : 46,174 = 46,174 : x
  2. Step 2: Convert to fraction form
    29,688/46,174 = 46,174/x
  3. Step 3: Cross multiply
    29,688x = 46,174 × 46,174
  4. Step 4: Simplify right side
    29,688x = 2,132,038,276
  5. Step 5: Solve for x
    x = 2,132,038,276/29,688
  6. Step 6: Final answer
    x = 71,814.82

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.