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Finding the Third Proportional to 15,756 and 22,702.50

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Solution

The third proportional to 15,756 and 22,702.50 is: 32,711.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,756 : 22,702.50 = 22,702.50 : x
  2. Step 2: Convert to fraction form
    15,756/22,702.50 = 22,702.50/x
  3. Step 3: Cross multiply
    15,756x = 22,702.50 × 22,702.50
  4. Step 4: Simplify right side
    15,756x = 515,403,506.25
  5. Step 5: Solve for x
    x = 515,403,506.25/15,756
  6. Step 6: Final answer
    x = 32,711.57

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.