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Finding the Third Proportional to 15,404.63 and 31,537.88

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Solution

The third proportional to 15,404.63 and 31,537.88 is: 64,567.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,404.63 : 31,537.88 = 31,537.88 : x
  2. Step 2: Convert to fraction form
    15,404.63/31,537.88 = 31,537.88/x
  3. Step 3: Cross multiply
    15,404.63x = 31,537.88 × 31,537.88
  4. Step 4: Simplify right side
    15,404.63x = 994,637,559.52
  5. Step 5: Solve for x
    x = 994,637,559.52/15,404.63
  6. Step 6: Final answer
    x = 64,567.46

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.