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Finding the Third Proportional to 31,113 and 46,924.50

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Solution

The third proportional to 31,113 and 46,924.50 is: 70,771.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,113 : 46,924.50 = 46,924.50 : x
  2. Step 2: Convert to fraction form
    31,113/46,924.50 = 46,924.50/x
  3. Step 3: Cross multiply
    31,113x = 46,924.50 × 46,924.50
  4. Step 4: Simplify right side
    31,113x = 2,201,908,700.25
  5. Step 5: Solve for x
    x = 2,201,908,700.25/31,113
  6. Step 6: Final answer
    x = 70,771.34

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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.