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Finding the Third Proportional to 24,323.63 and 31,080.38

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Solution

The third proportional to 24,323.63 and 31,080.38 is: 39,714.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,323.63 : 31,080.38 = 31,080.38 : x
  2. Step 2: Convert to fraction form
    24,323.63/31,080.38 = 31,080.38/x
  3. Step 3: Cross multiply
    24,323.63x = 31,080.38 × 31,080.38
  4. Step 4: Simplify right side
    24,323.63x = 965,989,710.14
  5. Step 5: Solve for x
    x = 965,989,710.14/24,323.63
  6. Step 6: Final answer
    x = 39,714.05

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.