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Finding the Third Proportional to 46,987 and 72,803

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Solution

The third proportional to 46,987 and 72,803 is: 112,803.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,987 : 72,803 = 72,803 : x
  2. Step 2: Convert to fraction form
    46,987/72,803 = 72,803/x
  3. Step 3: Cross multiply
    46,987x = 72,803 × 72,803
  4. Step 4: Simplify right side
    46,987x = 5,300,276,809
  5. Step 5: Solve for x
    x = 5,300,276,809/46,987
  6. Step 6: Final answer
    x = 112,803.05

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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.