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Finding the Third Proportional to 36,488.81 and 77,685.75

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Solution

The third proportional to 36,488.81 and 77,685.75 is: 165,395.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,488.81 : 77,685.75 = 77,685.75 : x
  2. Step 2: Convert to fraction form
    36,488.81/77,685.75 = 77,685.75/x
  3. Step 3: Cross multiply
    36,488.81x = 77,685.75 × 77,685.75
  4. Step 4: Simplify right side
    36,488.81x = 6,035,075,753.06
  5. Step 5: Solve for x
    x = 6,035,075,753.06/36,488.81
  6. Step 6: Final answer
    x = 165,395.24

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.