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Finding the Third Proportional to 46,347.19 and 70,409.25

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Solution

The third proportional to 46,347.19 and 70,409.25 is: 106,963.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,347.19 : 70,409.25 = 70,409.25 : x
  2. Step 2: Convert to fraction form
    46,347.19/70,409.25 = 70,409.25/x
  3. Step 3: Cross multiply
    46,347.19x = 70,409.25 × 70,409.25
  4. Step 4: Simplify right side
    46,347.19x = 4,957,462,485.56
  5. Step 5: Solve for x
    x = 4,957,462,485.56/46,347.19
  6. Step 6: Final answer
    x = 106,963.61

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.