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Finding the Third Proportional to 29,145.09 and 45,005.91

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Solution

The third proportional to 29,145.09 and 45,005.91 is: 69,498.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,145.09 : 45,005.91 = 45,005.91 : x
  2. Step 2: Convert to fraction form
    29,145.09/45,005.91 = 45,005.91/x
  3. Step 3: Cross multiply
    29,145.09x = 45,005.91 × 45,005.91
  4. Step 4: Simplify right side
    29,145.09x = 2,025,531,597.38
  5. Step 5: Solve for x
    x = 2,025,531,597.38/29,145.09
  6. Step 6: Final answer
    x = 69,498.20

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.