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Finding the Third Proportional to 21,527 and 47,207

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Solution

The third proportional to 21,527 and 47,207 is: 103,521.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,527 : 47,207 = 47,207 : x
  2. Step 2: Convert to fraction form
    21,527/47,207 = 47,207/x
  3. Step 3: Cross multiply
    21,527x = 47,207 × 47,207
  4. Step 4: Simplify right side
    21,527x = 2,228,500,849
  5. Step 5: Solve for x
    x = 2,228,500,849/21,527
  6. Step 6: Final answer
    x = 103,521.20

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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.