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Finding the Third Proportional to 29,296.69 and 45,160.98

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Solution

The third proportional to 29,296.69 and 45,160.98 is: 69,615.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,296.69 : 45,160.98 = 45,160.98 : x
  2. Step 2: Convert to fraction form
    29,296.69/45,160.98 = 45,160.98/x
  3. Step 3: Cross multiply
    29,296.69x = 45,160.98 × 45,160.98
  4. Step 4: Simplify right side
    29,296.69x = 2,039,514,156.90
  5. Step 5: Solve for x
    x = 2,039,514,156.90/29,296.69
  6. Step 6: Final answer
    x = 69,615.86

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Why These Related Problems?

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