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Finding the Third Proportional to 46,991 and 70,471

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Solution

The third proportional to 46,991 and 70,471 is: 105,683.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,991 : 70,471 = 70,471 : x
  2. Step 2: Convert to fraction form
    46,991/70,471 = 70,471/x
  3. Step 3: Cross multiply
    46,991x = 70,471 × 70,471
  4. Step 4: Simplify right side
    46,991x = 4,966,161,841
  5. Step 5: Solve for x
    x = 4,966,161,841/46,991
  6. Step 6: Final answer
    x = 105,683.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.