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Finding the Third Proportional to 46,925 and 70,791

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Solution

The third proportional to 46,925 and 70,791 is: 106,795.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,925 : 70,791 = 70,791 : x
  2. Step 2: Convert to fraction form
    46,925/70,791 = 70,791/x
  3. Step 3: Cross multiply
    46,925x = 70,791 × 70,791
  4. Step 4: Simplify right side
    46,925x = 5,011,365,681
  5. Step 5: Solve for x
    x = 5,011,365,681/46,925
  6. Step 6: Final answer
    x = 106,795.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.