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Finding the Third Proportional to 30,306 and 46,518

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Solution

The third proportional to 30,306 and 46,518 is: 71,402.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,306 : 46,518 = 46,518 : x
  2. Step 2: Convert to fraction form
    30,306/46,518 = 46,518/x
  3. Step 3: Cross multiply
    30,306x = 46,518 × 46,518
  4. Step 4: Simplify right side
    30,306x = 2,163,924,324
  5. Step 5: Solve for x
    x = 2,163,924,324/30,306
  6. Step 6: Final answer
    x = 71,402.51

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.