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Finding the Third Proportional to 25,464.50 and 40,312.75

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Solution

The third proportional to 25,464.50 and 40,312.75 is: 63,818.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,464.50 : 40,312.75 = 40,312.75 : x
  2. Step 2: Convert to fraction form
    25,464.50/40,312.75 = 40,312.75/x
  3. Step 3: Cross multiply
    25,464.50x = 40,312.75 × 40,312.75
  4. Step 4: Simplify right side
    25,464.50x = 1,625,117,812.56
  5. Step 5: Solve for x
    x = 1,625,117,812.56/25,464.50
  6. Step 6: Final answer
    x = 63,818.96

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.