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Finding the Third Proportional to 16,380 and 35,590.50

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Solution

The third proportional to 16,380 and 35,590.50 is: 77,331.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,380 : 35,590.50 = 35,590.50 : x
  2. Step 2: Convert to fraction form
    16,380/35,590.50 = 35,590.50/x
  3. Step 3: Cross multiply
    16,380x = 35,590.50 × 35,590.50
  4. Step 4: Simplify right side
    16,380x = 1,266,683,690.25
  5. Step 5: Solve for x
    x = 1,266,683,690.25/16,380
  6. Step 6: Final answer
    x = 77,331.12

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.