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Finding the Third Proportional to 19,408 and 28,352

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Solution

The third proportional to 19,408 and 28,352 is: 41,417.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,408 : 28,352 = 28,352 : x
  2. Step 2: Convert to fraction form
    19,408/28,352 = 28,352/x
  3. Step 3: Cross multiply
    19,408x = 28,352 × 28,352
  4. Step 4: Simplify right side
    19,408x = 803,835,904
  5. Step 5: Solve for x
    x = 803,835,904/19,408
  6. Step 6: Final answer
    x = 41,417.76

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.