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Finding the Third Proportional to 30,502.13 and 45,573.19

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Solution

The third proportional to 30,502.13 and 45,573.19 is: 68,090.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,502.13 : 45,573.19 = 45,573.19 : x
  2. Step 2: Convert to fraction form
    30,502.13/45,573.19 = 45,573.19/x
  3. Step 3: Cross multiply
    30,502.13x = 45,573.19 × 45,573.19
  4. Step 4: Simplify right side
    30,502.13x = 2,076,915,418.91
  5. Step 5: Solve for x
    x = 2,076,915,418.91/30,502.13
  6. Step 6: Final answer
    x = 68,090.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.