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Finding the Third Proportional to 23,283 and 32,137.88

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Solution

The third proportional to 23,283 and 32,137.88 is: 44,360.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,283 : 32,137.88 = 32,137.88 : x
  2. Step 2: Convert to fraction form
    23,283/32,137.88 = 32,137.88/x
  3. Step 3: Cross multiply
    23,283x = 32,137.88 × 32,137.88
  4. Step 4: Simplify right side
    23,283x = 1,032,843,009.52
  5. Step 5: Solve for x
    x = 1,032,843,009.52/23,283
  6. Step 6: Final answer
    x = 44,360.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.