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Finding the Third Proportional to 25,585.50 and 52,437

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Solution

The third proportional to 25,585.50 and 52,437 is: 107,468.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,585.50 : 52,437 = 52,437 : x
  2. Step 2: Convert to fraction form
    25,585.50/52,437 = 52,437/x
  3. Step 3: Cross multiply
    25,585.50x = 52,437 × 52,437
  4. Step 4: Simplify right side
    25,585.50x = 2,749,638,969
  5. Step 5: Solve for x
    x = 2,749,638,969/25,585.50
  6. Step 6: Final answer
    x = 107,468.64

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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.