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Finding the Third Proportional to 22,655.95 and 35,009.09

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Solution

The third proportional to 22,655.95 and 35,009.09 is: 54,097.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,655.95 : 35,009.09 = 35,009.09 : x
  2. Step 2: Convert to fraction form
    22,655.95/35,009.09 = 35,009.09/x
  3. Step 3: Cross multiply
    22,655.95x = 35,009.09 × 35,009.09
  4. Step 4: Simplify right side
    22,655.95x = 1,225,636,098.18
  5. Step 5: Solve for x
    x = 1,225,636,098.18/22,655.95
  6. Step 6: Final answer
    x = 54,097.75

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.