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Finding the Third Proportional to 30,322 and 46,031

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Solution

The third proportional to 30,322 and 46,031 is: 69,878.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,322 : 46,031 = 46,031 : x
  2. Step 2: Convert to fraction form
    30,322/46,031 = 46,031/x
  3. Step 3: Cross multiply
    30,322x = 46,031 × 46,031
  4. Step 4: Simplify right side
    30,322x = 2,118,852,961
  5. Step 5: Solve for x
    x = 2,118,852,961/30,322
  6. Step 6: Final answer
    x = 69,878.40

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.