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Finding the Third Proportional to 32,220 and 72,666

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Solution

The third proportional to 32,220 and 72,666 is: 163,884.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,220 : 72,666 = 72,666 : x
  2. Step 2: Convert to fraction form
    32,220/72,666 = 72,666/x
  3. Step 3: Cross multiply
    32,220x = 72,666 × 72,666
  4. Step 4: Simplify right side
    32,220x = 5,280,347,556
  5. Step 5: Solve for x
    x = 5,280,347,556/32,220
  6. Step 6: Final answer
    x = 163,884.16

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.