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Finding the Third Proportional to 11,527 and 24,284

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Solution

The third proportional to 11,527 and 24,284 is: 51,159.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,527 : 24,284 = 24,284 : x
  2. Step 2: Convert to fraction form
    11,527/24,284 = 24,284/x
  3. Step 3: Cross multiply
    11,527x = 24,284 × 24,284
  4. Step 4: Simplify right side
    11,527x = 589,712,656
  5. Step 5: Solve for x
    x = 589,712,656/11,527
  6. Step 6: Final answer
    x = 51,159.25

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.