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Finding the Third Proportional to 26,011.13 and 29,899.13

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Solution

The third proportional to 26,011.13 and 29,899.13 is: 34,368.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,011.13 : 29,899.13 = 29,899.13 : x
  2. Step 2: Convert to fraction form
    26,011.13/29,899.13 = 29,899.13/x
  3. Step 3: Cross multiply
    26,011.13x = 29,899.13 × 29,899.13
  4. Step 4: Simplify right side
    26,011.13x = 893,957,675.77
  5. Step 5: Solve for x
    x = 893,957,675.77/26,011.13
  6. Step 6: Final answer
    x = 34,368.28

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.