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Finding the Third Proportional to 19,702.88 and 29,482.88

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Solution

The third proportional to 19,702.88 and 29,482.88 is: 44,117.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,702.88 : 29,482.88 = 29,482.88 : x
  2. Step 2: Convert to fraction form
    19,702.88/29,482.88 = 29,482.88/x
  3. Step 3: Cross multiply
    19,702.88x = 29,482.88 × 29,482.88
  4. Step 4: Simplify right side
    19,702.88x = 869,239,918.27
  5. Step 5: Solve for x
    x = 869,239,918.27/19,702.88
  6. Step 6: Final answer
    x = 44,117.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.