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Finding the Third Proportional to 12,535 and 26,798

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Solution

The third proportional to 12,535 and 26,798 is: 57,290.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,535 : 26,798 = 26,798 : x
  2. Step 2: Convert to fraction form
    12,535/26,798 = 26,798/x
  3. Step 3: Cross multiply
    12,535x = 26,798 × 26,798
  4. Step 4: Simplify right side
    12,535x = 718,132,804
  5. Step 5: Solve for x
    x = 718,132,804/12,535
  6. Step 6: Final answer
    x = 57,290.21

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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.