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Finding the Third Proportional to 19,779.75 and 32,136

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Solution

The third proportional to 19,779.75 and 32,136 is: 52,211.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,779.75 : 32,136 = 32,136 : x
  2. Step 2: Convert to fraction form
    19,779.75/32,136 = 32,136/x
  3. Step 3: Cross multiply
    19,779.75x = 32,136 × 32,136
  4. Step 4: Simplify right side
    19,779.75x = 1,032,722,496
  5. Step 5: Solve for x
    x = 1,032,722,496/19,779.75
  6. Step 6: Final answer
    x = 52,211.10

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.