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Finding the Third Proportional to 13,775.06 and 25,363.13

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Solution

The third proportional to 13,775.06 and 25,363.13 is: 46,699.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,775.06 : 25,363.13 = 25,363.13 : x
  2. Step 2: Convert to fraction form
    13,775.06/25,363.13 = 25,363.13/x
  3. Step 3: Cross multiply
    13,775.06x = 25,363.13 × 25,363.13
  4. Step 4: Simplify right side
    13,775.06x = 643,288,109.77
  5. Step 5: Solve for x
    x = 643,288,109.77/13,775.06
  6. Step 6: Final answer
    x = 46,699.47

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.