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Finding the Third Proportional to 24,300.66 and 39,680.81

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Solution

The third proportional to 24,300.66 and 39,680.81 is: 64,795.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,300.66 : 39,680.81 = 39,680.81 : x
  2. Step 2: Convert to fraction form
    24,300.66/39,680.81 = 39,680.81/x
  3. Step 3: Cross multiply
    24,300.66x = 39,680.81 × 39,680.81
  4. Step 4: Simplify right side
    24,300.66x = 1,574,566,880.66
  5. Step 5: Solve for x
    x = 1,574,566,880.66/24,300.66
  6. Step 6: Final answer
    x = 64,795.24

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.