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Finding the Third Proportional to 46,488 and 72,084

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Solution

The third proportional to 46,488 and 72,084 is: 111,773.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,488 : 72,084 = 72,084 : x
  2. Step 2: Convert to fraction form
    46,488/72,084 = 72,084/x
  3. Step 3: Cross multiply
    46,488x = 72,084 × 72,084
  4. Step 4: Simplify right side
    46,488x = 5,196,103,056
  5. Step 5: Solve for x
    x = 5,196,103,056/46,488
  6. Step 6: Final answer
    x = 111,773.00

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Why These Related Problems?

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