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Finding the Third Proportional to 14,967.28 and 23,066.02

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Solution

The third proportional to 14,967.28 and 23,066.02 is: 35,546.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,967.28 : 23,066.02 = 23,066.02 : x
  2. Step 2: Convert to fraction form
    14,967.28/23,066.02 = 23,066.02/x
  3. Step 3: Cross multiply
    14,967.28x = 23,066.02 × 23,066.02
  4. Step 4: Simplify right side
    14,967.28x = 532,041,076.81
  5. Step 5: Solve for x
    x = 532,041,076.81/14,967.28
  6. Step 6: Final answer
    x = 35,546.94

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.