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Finding the Third Proportional to 25,284.66 and 36,421.31

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Solution

The third proportional to 25,284.66 and 36,421.31 is: 52,463.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,284.66 : 36,421.31 = 36,421.31 : x
  2. Step 2: Convert to fraction form
    25,284.66/36,421.31 = 36,421.31/x
  3. Step 3: Cross multiply
    25,284.66x = 36,421.31 × 36,421.31
  4. Step 4: Simplify right side
    25,284.66x = 1,326,512,004.22
  5. Step 5: Solve for x
    x = 1,326,512,004.22/25,284.66
  6. Step 6: Final answer
    x = 52,463.12

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.