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Finding the Third Proportional to 14,616 and 32,160

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Solution

The third proportional to 14,616 and 32,160 is: 70,762.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,616 : 32,160 = 32,160 : x
  2. Step 2: Convert to fraction form
    14,616/32,160 = 32,160/x
  3. Step 3: Cross multiply
    14,616x = 32,160 × 32,160
  4. Step 4: Simplify right side
    14,616x = 1,034,265,600
  5. Step 5: Solve for x
    x = 1,034,265,600/14,616
  6. Step 6: Final answer
    x = 70,762.56

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.