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Finding the Third Proportional to 29,537.31 and 45,400.90

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Solution

The third proportional to 29,537.31 and 45,400.90 is: 69,784.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,537.31 : 45,400.90 = 45,400.90 : x
  2. Step 2: Convert to fraction form
    29,537.31/45,400.90 = 45,400.90/x
  3. Step 3: Cross multiply
    29,537.31x = 45,400.90 × 45,400.90
  4. Step 4: Simplify right side
    29,537.31x = 2,061,241,312.91
  5. Step 5: Solve for x
    x = 2,061,241,312.91/29,537.31
  6. Step 6: Final answer
    x = 69,784.32

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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.