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Finding the Third Proportional to 22,740.75 and 43,702.88

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Solution

The third proportional to 22,740.75 and 43,702.88 is: 83,987.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,740.75 : 43,702.88 = 43,702.88 : x
  2. Step 2: Convert to fraction form
    22,740.75/43,702.88 = 43,702.88/x
  3. Step 3: Cross multiply
    22,740.75x = 43,702.88 × 43,702.88
  4. Step 4: Simplify right side
    22,740.75x = 1,909,941,283.27
  5. Step 5: Solve for x
    x = 1,909,941,283.27/22,740.75
  6. Step 6: Final answer
    x = 83,987.61

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.