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Finding the Third Proportional to 30,416 and 45,498

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Solution

The third proportional to 30,416 and 45,498 is: 68,058.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,416 : 45,498 = 45,498 : x
  2. Step 2: Convert to fraction form
    30,416/45,498 = 45,498/x
  3. Step 3: Cross multiply
    30,416x = 45,498 × 45,498
  4. Step 4: Simplify right side
    30,416x = 2,070,068,004
  5. Step 5: Solve for x
    x = 2,070,068,004/30,416
  6. Step 6: Final answer
    x = 68,058.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.