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Finding the Third Proportional to 31,070.50 and 46,609.13

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Solution

The third proportional to 31,070.50 and 46,609.13 is: 69,918.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,070.50 : 46,609.13 = 46,609.13 : x
  2. Step 2: Convert to fraction form
    31,070.50/46,609.13 = 46,609.13/x
  3. Step 3: Cross multiply
    31,070.50x = 46,609.13 × 46,609.13
  4. Step 4: Simplify right side
    31,070.50x = 2,172,410,533.27
  5. Step 5: Solve for x
    x = 2,172,410,533.27/31,070.50
  6. Step 6: Final answer
    x = 69,918.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.