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Finding the Third Proportional to 46,925 and 70,792

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Solution

The third proportional to 46,925 and 70,792 is: 106,798.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,925 : 70,792 = 70,792 : x
  2. Step 2: Convert to fraction form
    46,925/70,792 = 70,792/x
  3. Step 3: Cross multiply
    46,925x = 70,792 × 70,792
  4. Step 4: Simplify right side
    46,925x = 5,011,507,264
  5. Step 5: Solve for x
    x = 5,011,507,264/46,925
  6. Step 6: Final answer
    x = 106,798.24

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