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Finding the Third Proportional to 46,987.50 and 72,868.50

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Solution

The third proportional to 46,987.50 and 72,868.50 is: 113,004.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,987.50 : 72,868.50 = 72,868.50 : x
  2. Step 2: Convert to fraction form
    46,987.50/72,868.50 = 72,868.50/x
  3. Step 3: Cross multiply
    46,987.50x = 72,868.50 × 72,868.50
  4. Step 4: Simplify right side
    46,987.50x = 5,309,818,292.25
  5. Step 5: Solve for x
    x = 5,309,818,292.25/46,987.50
  6. Step 6: Final answer
    x = 113,004.91

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.