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Finding the Third Proportional to 6,321 and 10,156.50

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Solution

The third proportional to 6,321 and 10,156.50 is: 16,319.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,321 : 10,156.50 = 10,156.50 : x
  2. Step 2: Convert to fraction form
    6,321/10,156.50 = 10,156.50/x
  3. Step 3: Cross multiply
    6,321x = 10,156.50 × 10,156.50
  4. Step 4: Simplify right side
    6,321x = 103,154,492.25
  5. Step 5: Solve for x
    x = 103,154,492.25/6,321
  6. Step 6: Final answer
    x = 16,319.33

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.