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Finding the Third Proportional to 28,698 and 42,196.50

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Solution

The third proportional to 28,698 and 42,196.50 is: 62,044.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,698 : 42,196.50 = 42,196.50 : x
  2. Step 2: Convert to fraction form
    28,698/42,196.50 = 42,196.50/x
  3. Step 3: Cross multiply
    28,698x = 42,196.50 × 42,196.50
  4. Step 4: Simplify right side
    28,698x = 1,780,544,612.25
  5. Step 5: Solve for x
    x = 1,780,544,612.25/28,698
  6. Step 6: Final answer
    x = 62,044.21

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.