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Finding the Third Proportional to 22,970.75 and 36,855.75

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Solution

The third proportional to 22,970.75 and 36,855.75 is: 59,133.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,970.75 : 36,855.75 = 36,855.75 : x
  2. Step 2: Convert to fraction form
    22,970.75/36,855.75 = 36,855.75/x
  3. Step 3: Cross multiply
    22,970.75x = 36,855.75 × 36,855.75
  4. Step 4: Simplify right side
    22,970.75x = 1,358,346,308.06
  5. Step 5: Solve for x
    x = 1,358,346,308.06/22,970.75
  6. Step 6: Final answer
    x = 59,133.74

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.