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Finding the Third Proportional to 25,140 and 54,646

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Solution

The third proportional to 25,140 and 54,646 is: 118,782.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,140 : 54,646 = 54,646 : x
  2. Step 2: Convert to fraction form
    25,140/54,646 = 54,646/x
  3. Step 3: Cross multiply
    25,140x = 54,646 × 54,646
  4. Step 4: Simplify right side
    25,140x = 2,986,185,316
  5. Step 5: Solve for x
    x = 2,986,185,316/25,140
  6. Step 6: Final answer
    x = 118,782.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.