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Finding the Third Proportional to 46,999.50 and 71,988

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Solution

The third proportional to 46,999.50 and 71,988 is: 110,262.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,999.50 : 71,988 = 71,988 : x
  2. Step 2: Convert to fraction form
    46,999.50/71,988 = 71,988/x
  3. Step 3: Cross multiply
    46,999.50x = 71,988 × 71,988
  4. Step 4: Simplify right side
    46,999.50x = 5,182,272,144
  5. Step 5: Solve for x
    x = 5,182,272,144/46,999.50
  6. Step 6: Final answer
    x = 110,262.28

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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.