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Finding the Third Proportional to 15,954.75 and 23,856.13

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Solution

The third proportional to 15,954.75 and 23,856.13 is: 35,670.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,954.75 : 23,856.13 = 23,856.13 : x
  2. Step 2: Convert to fraction form
    15,954.75/23,856.13 = 23,856.13/x
  3. Step 3: Cross multiply
    15,954.75x = 23,856.13 × 23,856.13
  4. Step 4: Simplify right side
    15,954.75x = 569,114,700.02
  5. Step 5: Solve for x
    x = 569,114,700.02/15,954.75
  6. Step 6: Final answer
    x = 35,670.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.