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Finding the Third Proportional to 25,566 and 55,630

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Solution

The third proportional to 25,566 and 55,630 is: 121,047.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,566 : 55,630 = 55,630 : x
  2. Step 2: Convert to fraction form
    25,566/55,630 = 55,630/x
  3. Step 3: Cross multiply
    25,566x = 55,630 × 55,630
  4. Step 4: Simplify right side
    25,566x = 3,094,696,900
  5. Step 5: Solve for x
    x = 3,094,696,900/25,566
  6. Step 6: Final answer
    x = 121,047.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.