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Finding the Third Proportional to 14,894 and 32,104

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Solution

The third proportional to 14,894 and 32,104 is: 69,200.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,894 : 32,104 = 32,104 : x
  2. Step 2: Convert to fraction form
    14,894/32,104 = 32,104/x
  3. Step 3: Cross multiply
    14,894x = 32,104 × 32,104
  4. Step 4: Simplify right side
    14,894x = 1,030,666,816
  5. Step 5: Solve for x
    x = 1,030,666,816/14,894
  6. Step 6: Final answer
    x = 69,200.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.