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Finding the Third Proportional to 25,528 and 54,340

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Solution

The third proportional to 25,528 and 54,340 is: 115,670.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,528 : 54,340 = 54,340 : x
  2. Step 2: Convert to fraction form
    25,528/54,340 = 54,340/x
  3. Step 3: Cross multiply
    25,528x = 54,340 × 54,340
  4. Step 4: Simplify right side
    25,528x = 2,952,835,600
  5. Step 5: Solve for x
    x = 2,952,835,600/25,528
  6. Step 6: Final answer
    x = 115,670.46

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.