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Finding the Third Proportional to 25,988.63 and 40,224.94

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Solution

The third proportional to 25,988.63 and 40,224.94 is: 62,259.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,988.63 : 40,224.94 = 40,224.94 : x
  2. Step 2: Convert to fraction form
    25,988.63/40,224.94 = 40,224.94/x
  3. Step 3: Cross multiply
    25,988.63x = 40,224.94 × 40,224.94
  4. Step 4: Simplify right side
    25,988.63x = 1,618,045,596.88
  5. Step 5: Solve for x
    x = 1,618,045,596.88/25,988.63
  6. Step 6: Final answer
    x = 62,259.76

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.