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Finding the Third Proportional to 19,298 and 28,403

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Solution

The third proportional to 19,298 and 28,403 is: 41,803.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,298 : 28,403 = 28,403 : x
  2. Step 2: Convert to fraction form
    19,298/28,403 = 28,403/x
  3. Step 3: Cross multiply
    19,298x = 28,403 × 28,403
  4. Step 4: Simplify right side
    19,298x = 806,730,409
  5. Step 5: Solve for x
    x = 806,730,409/19,298
  6. Step 6: Final answer
    x = 41,803.84

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.