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Finding the Third Proportional to 34,020 and 52,558.88

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Solution

The third proportional to 34,020 and 52,558.88 is: 81,200.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,020 : 52,558.88 = 52,558.88 : x
  2. Step 2: Convert to fraction form
    34,020/52,558.88 = 52,558.88/x
  3. Step 3: Cross multiply
    34,020x = 52,558.88 × 52,558.88
  4. Step 4: Simplify right side
    34,020x = 2,762,435,341.27
  5. Step 5: Solve for x
    x = 2,762,435,341.27/34,020
  6. Step 6: Final answer
    x = 81,200.33

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.