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Finding the Third Proportional to 14,708 and 32,066

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Solution

The third proportional to 14,708 and 32,066 is: 69,909.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,708 : 32,066 = 32,066 : x
  2. Step 2: Convert to fraction form
    14,708/32,066 = 32,066/x
  3. Step 3: Cross multiply
    14,708x = 32,066 × 32,066
  4. Step 4: Simplify right side
    14,708x = 1,028,228,356
  5. Step 5: Solve for x
    x = 1,028,228,356/14,708
  6. Step 6: Final answer
    x = 69,909.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.