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Finding the Third Proportional to 46,699.31 and 72,965.25

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Solution

The third proportional to 46,699.31 and 72,965.25 is: 114,004.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,699.31 : 72,965.25 = 72,965.25 : x
  2. Step 2: Convert to fraction form
    46,699.31/72,965.25 = 72,965.25/x
  3. Step 3: Cross multiply
    46,699.31x = 72,965.25 × 72,965.25
  4. Step 4: Simplify right side
    46,699.31x = 5,323,927,707.56
  5. Step 5: Solve for x
    x = 5,323,927,707.56/46,699.31
  6. Step 6: Final answer
    x = 114,004.41

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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.