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Finding the Third Proportional to 53,280 and 71,080.88

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Solution

The third proportional to 53,280 and 71,080.88 is: 94,829.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,280 : 71,080.88 = 71,080.88 : x
  2. Step 2: Convert to fraction form
    53,280/71,080.88 = 71,080.88/x
  3. Step 3: Cross multiply
    53,280x = 71,080.88 × 71,080.88
  4. Step 4: Simplify right side
    53,280x = 5,052,490,790.77
  5. Step 5: Solve for x
    x = 5,052,490,790.77/53,280
  6. Step 6: Final answer
    x = 94,829.03

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.