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Finding the Third Proportional to 30,216 and 65,284

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Solution

The third proportional to 30,216 and 65,284 is: 141,051.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,216 : 65,284 = 65,284 : x
  2. Step 2: Convert to fraction form
    30,216/65,284 = 65,284/x
  3. Step 3: Cross multiply
    30,216x = 65,284 × 65,284
  4. Step 4: Simplify right side
    30,216x = 4,262,000,656
  5. Step 5: Solve for x
    x = 4,262,000,656/30,216
  6. Step 6: Final answer
    x = 141,051.12

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.