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Finding the Third Proportional to 10,071 and 21,527

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Solution

The third proportional to 10,071 and 21,527 is: 46,014.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,071 : 21,527 = 21,527 : x
  2. Step 2: Convert to fraction form
    10,071/21,527 = 21,527/x
  3. Step 3: Cross multiply
    10,071x = 21,527 × 21,527
  4. Step 4: Simplify right side
    10,071x = 463,411,729
  5. Step 5: Solve for x
    x = 463,411,729/10,071
  6. Step 6: Final answer
    x = 46,014.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.