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Finding the Third Proportional to 30,735 and 46,995.75

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Solution

The third proportional to 30,735 and 46,995.75 is: 71,859.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,735 : 46,995.75 = 46,995.75 : x
  2. Step 2: Convert to fraction form
    30,735/46,995.75 = 46,995.75/x
  3. Step 3: Cross multiply
    30,735x = 46,995.75 × 46,995.75
  4. Step 4: Simplify right side
    30,735x = 2,208,600,518.06
  5. Step 5: Solve for x
    x = 2,208,600,518.06/30,735
  6. Step 6: Final answer
    x = 71,859.46

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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.