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Finding the Third Proportional to 32,284 and 70,348

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Solution

The third proportional to 32,284 and 70,348 is: 153,290.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,284 : 70,348 = 70,348 : x
  2. Step 2: Convert to fraction form
    32,284/70,348 = 70,348/x
  3. Step 3: Cross multiply
    32,284x = 70,348 × 70,348
  4. Step 4: Simplify right side
    32,284x = 4,948,841,104
  5. Step 5: Solve for x
    x = 4,948,841,104/32,284
  6. Step 6: Final answer
    x = 153,290.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.