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Finding the Third Proportional to 11,428 and 25,048

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Solution

The third proportional to 11,428 and 25,048 is: 54,900.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,428 : 25,048 = 25,048 : x
  2. Step 2: Convert to fraction form
    11,428/25,048 = 25,048/x
  3. Step 3: Cross multiply
    11,428x = 25,048 × 25,048
  4. Step 4: Simplify right side
    11,428x = 627,402,304
  5. Step 5: Solve for x
    x = 627,402,304/11,428
  6. Step 6: Final answer
    x = 54,900.45

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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.