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Finding the Third Proportional to 15,856.50 and 21,358.50

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Solution

The third proportional to 15,856.50 and 21,358.50 is: 28,769.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,856.50 : 21,358.50 = 21,358.50 : x
  2. Step 2: Convert to fraction form
    15,856.50/21,358.50 = 21,358.50/x
  3. Step 3: Cross multiply
    15,856.50x = 21,358.50 × 21,358.50
  4. Step 4: Simplify right side
    15,856.50x = 456,185,522.25
  5. Step 5: Solve for x
    x = 456,185,522.25/15,856.50
  6. Step 6: Final answer
    x = 28,769.62

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.