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Finding the Third Proportional to 24,660 and 40,063.50

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Solution

The third proportional to 24,660 and 40,063.50 is: 65,088.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,660 : 40,063.50 = 40,063.50 : x
  2. Step 2: Convert to fraction form
    24,660/40,063.50 = 40,063.50/x
  3. Step 3: Cross multiply
    24,660x = 40,063.50 × 40,063.50
  4. Step 4: Simplify right side
    24,660x = 1,605,084,032.25
  5. Step 5: Solve for x
    x = 1,605,084,032.25/24,660
  6. Step 6: Final answer
    x = 65,088.57

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.