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Finding the Third Proportional to 46,726 and 72,471

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Solution

The third proportional to 46,726 and 72,471 is: 112,400.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,726 : 72,471 = 72,471 : x
  2. Step 2: Convert to fraction form
    46,726/72,471 = 72,471/x
  3. Step 3: Cross multiply
    46,726x = 72,471 × 72,471
  4. Step 4: Simplify right side
    46,726x = 5,252,045,841
  5. Step 5: Solve for x
    x = 5,252,045,841/46,726
  6. Step 6: Final answer
    x = 112,400.93

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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.