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Finding the Third Proportional to 31,276.50 and 46,087.88

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Solution

The third proportional to 31,276.50 and 46,087.88 is: 67,913.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,276.50 : 46,087.88 = 46,087.88 : x
  2. Step 2: Convert to fraction form
    31,276.50/46,087.88 = 46,087.88/x
  3. Step 3: Cross multiply
    31,276.50x = 46,087.88 × 46,087.88
  4. Step 4: Simplify right side
    31,276.50x = 2,124,092,222.02
  5. Step 5: Solve for x
    x = 2,124,092,222.02/31,276.50
  6. Step 6: Final answer
    x = 67,913.36

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.