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Finding the Third Proportional to 28,564 and 61,513

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Solution

The third proportional to 28,564 and 61,513 is: 132,469.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,564 : 61,513 = 61,513 : x
  2. Step 2: Convert to fraction form
    28,564/61,513 = 61,513/x
  3. Step 3: Cross multiply
    28,564x = 61,513 × 61,513
  4. Step 4: Simplify right side
    28,564x = 3,783,849,169
  5. Step 5: Solve for x
    x = 3,783,849,169/28,564
  6. Step 6: Final answer
    x = 132,469.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.