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Finding the Third Proportional to 46,420.88 and 69,734.25

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Solution

The third proportional to 46,420.88 and 69,734.25 is: 104,756.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,420.88 : 69,734.25 = 69,734.25 : x
  2. Step 2: Convert to fraction form
    46,420.88/69,734.25 = 69,734.25/x
  3. Step 3: Cross multiply
    46,420.88x = 69,734.25 × 69,734.25
  4. Step 4: Simplify right side
    46,420.88x = 4,862,865,623.06
  5. Step 5: Solve for x
    x = 4,862,865,623.06/46,420.88
  6. Step 6: Final answer
    x = 104,756.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.