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Finding the Third Proportional to 10,583 and 22,536

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Solution

The third proportional to 10,583 and 22,536 is: 47,989.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,583 : 22,536 = 22,536 : x
  2. Step 2: Convert to fraction form
    10,583/22,536 = 22,536/x
  3. Step 3: Cross multiply
    10,583x = 22,536 × 22,536
  4. Step 4: Simplify right side
    10,583x = 507,871,296
  5. Step 5: Solve for x
    x = 507,871,296/10,583
  6. Step 6: Final answer
    x = 47,989.35

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.