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Finding the Third Proportional to 25,683.75 and 38,417.63

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Solution

The third proportional to 25,683.75 and 38,417.63 is: 57,464.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,683.75 : 38,417.63 = 38,417.63 : x
  2. Step 2: Convert to fraction form
    25,683.75/38,417.63 = 38,417.63/x
  3. Step 3: Cross multiply
    25,683.75x = 38,417.63 × 38,417.63
  4. Step 4: Simplify right side
    25,683.75x = 1,475,913,910.64
  5. Step 5: Solve for x
    x = 1,475,913,910.64/25,683.75
  6. Step 6: Final answer
    x = 57,464.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.