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Finding the Third Proportional to 20,312.33 and 29,880.46

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Solution

The third proportional to 20,312.33 and 29,880.46 is: 43,955.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,312.33 : 29,880.46 = 29,880.46 : x
  2. Step 2: Convert to fraction form
    20,312.33/29,880.46 = 29,880.46/x
  3. Step 3: Cross multiply
    20,312.33x = 29,880.46 × 29,880.46
  4. Step 4: Simplify right side
    20,312.33x = 892,841,712.40
  5. Step 5: Solve for x
    x = 892,841,712.40/20,312.33
  6. Step 6: Final answer
    x = 43,955.65

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.