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Finding the Third Proportional to 19,114 and 29,535

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Solution

The third proportional to 19,114 and 29,535 is: 45,637.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,114 : 29,535 = 29,535 : x
  2. Step 2: Convert to fraction form
    19,114/29,535 = 29,535/x
  3. Step 3: Cross multiply
    19,114x = 29,535 × 29,535
  4. Step 4: Simplify right side
    19,114x = 872,316,225
  5. Step 5: Solve for x
    x = 872,316,225/19,114
  6. Step 6: Final answer
    x = 45,637.55

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.