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Finding the Third Proportional to 10,527 and 22,513

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Solution

The third proportional to 10,527 and 22,513 is: 48,146.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,527 : 22,513 = 22,513 : x
  2. Step 2: Convert to fraction form
    10,527/22,513 = 22,513/x
  3. Step 3: Cross multiply
    10,527x = 22,513 × 22,513
  4. Step 4: Simplify right side
    10,527x = 506,835,169
  5. Step 5: Solve for x
    x = 506,835,169/10,527
  6. Step 6: Final answer
    x = 48,146.21

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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.