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Finding the Third Proportional to 46,009.69 and 67,505.06

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Solution

The third proportional to 46,009.69 and 67,505.06 is: 99,042.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,009.69 : 67,505.06 = 67,505.06 : x
  2. Step 2: Convert to fraction form
    46,009.69/67,505.06 = 67,505.06/x
  3. Step 3: Cross multiply
    46,009.69x = 67,505.06 × 67,505.06
  4. Step 4: Simplify right side
    46,009.69x = 4,556,933,463.13
  5. Step 5: Solve for x
    x = 4,556,933,463.13/46,009.69
  6. Step 6: Final answer
    x = 99,042.91

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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.