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Finding the Third Proportional to 31,225.50 and 46,011.38

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Solution

The third proportional to 31,225.50 and 46,011.38 is: 67,798.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,225.50 : 46,011.38 = 46,011.38 : x
  2. Step 2: Convert to fraction form
    31,225.50/46,011.38 = 46,011.38/x
  3. Step 3: Cross multiply
    31,225.50x = 46,011.38 × 46,011.38
  4. Step 4: Simplify right side
    31,225.50x = 2,117,046,629.39
  5. Step 5: Solve for x
    x = 2,117,046,629.39/31,225.50
  6. Step 6: Final answer
    x = 67,798.65

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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.