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Finding the Third Proportional to 25,980 and 53,640

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Solution

The third proportional to 25,980 and 53,640 is: 110,748.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,980 : 53,640 = 53,640 : x
  2. Step 2: Convert to fraction form
    25,980/53,640 = 53,640/x
  3. Step 3: Cross multiply
    25,980x = 53,640 × 53,640
  4. Step 4: Simplify right side
    25,980x = 2,877,249,600
  5. Step 5: Solve for x
    x = 2,877,249,600/25,980
  6. Step 6: Final answer
    x = 110,748.64

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.