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Finding the Third Proportional to 30,384 and 40,464

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Solution

The third proportional to 30,384 and 40,464 is: 53,888.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,384 : 40,464 = 40,464 : x
  2. Step 2: Convert to fraction form
    30,384/40,464 = 40,464/x
  3. Step 3: Cross multiply
    30,384x = 40,464 × 40,464
  4. Step 4: Simplify right side
    30,384x = 1,637,335,296
  5. Step 5: Solve for x
    x = 1,637,335,296/30,384
  6. Step 6: Final answer
    x = 53,888.08

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.