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Finding the Third Proportional to 30,386 and 46,643

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Solution

The third proportional to 30,386 and 46,643 is: 71,597.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,386 : 46,643 = 46,643 : x
  2. Step 2: Convert to fraction form
    30,386/46,643 = 46,643/x
  3. Step 3: Cross multiply
    30,386x = 46,643 × 46,643
  4. Step 4: Simplify right side
    30,386x = 2,175,569,449
  5. Step 5: Solve for x
    x = 2,175,569,449/30,386
  6. Step 6: Final answer
    x = 71,597.76

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.