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Finding the Third Proportional to 19,089 and 29,038.50

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Solution

The third proportional to 19,089 and 29,038.50 is: 44,173.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,089 : 29,038.50 = 29,038.50 : x
  2. Step 2: Convert to fraction form
    19,089/29,038.50 = 29,038.50/x
  3. Step 3: Cross multiply
    19,089x = 29,038.50 × 29,038.50
  4. Step 4: Simplify right side
    19,089x = 843,234,482.25
  5. Step 5: Solve for x
    x = 843,234,482.25/19,089
  6. Step 6: Final answer
    x = 44,173.84

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.