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Finding the Third Proportional to 10,590 and 22,798

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Solution

The third proportional to 10,590 and 22,798 is: 49,079.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,590 : 22,798 = 22,798 : x
  2. Step 2: Convert to fraction form
    10,590/22,798 = 22,798/x
  3. Step 3: Cross multiply
    10,590x = 22,798 × 22,798
  4. Step 4: Simplify right side
    10,590x = 519,748,804
  5. Step 5: Solve for x
    x = 519,748,804/10,590
  6. Step 6: Final answer
    x = 49,079.21

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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.