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Finding the Third Proportional to 15,717 and 32,710.50

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Solution

The third proportional to 15,717 and 32,710.50 is: 68,077.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,717 : 32,710.50 = 32,710.50 : x
  2. Step 2: Convert to fraction form
    15,717/32,710.50 = 32,710.50/x
  3. Step 3: Cross multiply
    15,717x = 32,710.50 × 32,710.50
  4. Step 4: Simplify right side
    15,717x = 1,069,976,810.25
  5. Step 5: Solve for x
    x = 1,069,976,810.25/15,717
  6. Step 6: Final answer
    x = 68,077.67

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.