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Finding the Third Proportional to 9,896 and 15,784

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Solution

The third proportional to 9,896 and 15,784 is: 25,175.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,896 : 15,784 = 15,784 : x
  2. Step 2: Convert to fraction form
    9,896/15,784 = 15,784/x
  3. Step 3: Cross multiply
    9,896x = 15,784 × 15,784
  4. Step 4: Simplify right side
    9,896x = 249,134,656
  5. Step 5: Solve for x
    x = 249,134,656/9,896
  6. Step 6: Final answer
    x = 25,175.29

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.