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Finding the Third Proportional to 19,024 and 28,430

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Solution

The third proportional to 19,024 and 28,430 is: 42,486.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,024 : 28,430 = 28,430 : x
  2. Step 2: Convert to fraction form
    19,024/28,430 = 28,430/x
  3. Step 3: Cross multiply
    19,024x = 28,430 × 28,430
  4. Step 4: Simplify right side
    19,024x = 808,264,900
  5. Step 5: Solve for x
    x = 808,264,900/19,024
  6. Step 6: Final answer
    x = 42,486.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.