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Finding the Third Proportional to 15,877 and 22,297.50

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Solution

The third proportional to 15,877 and 22,297.50 is: 31,314.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,877 : 22,297.50 = 22,297.50 : x
  2. Step 2: Convert to fraction form
    15,877/22,297.50 = 22,297.50/x
  3. Step 3: Cross multiply
    15,877x = 22,297.50 × 22,297.50
  4. Step 4: Simplify right side
    15,877x = 497,178,506.25
  5. Step 5: Solve for x
    x = 497,178,506.25/15,877
  6. Step 6: Final answer
    x = 31,314.39

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.