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Finding the Third Proportional to 46,687 and 72,410

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Solution

The third proportional to 46,687 and 72,410 is: 112,305.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,687 : 72,410 = 72,410 : x
  2. Step 2: Convert to fraction form
    46,687/72,410 = 72,410/x
  3. Step 3: Cross multiply
    46,687x = 72,410 × 72,410
  4. Step 4: Simplify right side
    46,687x = 5,243,208,100
  5. Step 5: Solve for x
    x = 5,243,208,100/46,687
  6. Step 6: Final answer
    x = 112,305.53

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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.