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Finding the Third Proportional to 15,783.61 and 33,877.62

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Solution

The third proportional to 15,783.61 and 33,877.62 is: 72,714.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,783.61 : 33,877.62 = 33,877.62 : x
  2. Step 2: Convert to fraction form
    15,783.61/33,877.62 = 33,877.62/x
  3. Step 3: Cross multiply
    15,783.61x = 33,877.62 × 33,877.62
  4. Step 4: Simplify right side
    15,783.61x = 1,147,692,946.30
  5. Step 5: Solve for x
    x = 1,147,692,946.30/15,783.61
  6. Step 6: Final answer
    x = 72,714.23

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.