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Finding the Third Proportional to 25,349 and 55,465

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Solution

The third proportional to 25,349 and 55,465 is: 121,360.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,349 : 55,465 = 55,465 : x
  2. Step 2: Convert to fraction form
    25,349/55,465 = 55,465/x
  3. Step 3: Cross multiply
    25,349x = 55,465 × 55,465
  4. Step 4: Simplify right side
    25,349x = 3,076,366,225
  5. Step 5: Solve for x
    x = 3,076,366,225/25,349
  6. Step 6: Final answer
    x = 121,360.46

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.