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Finding the Third Proportional to 15,588 and 32,284

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Solution

The third proportional to 15,588 and 32,284 is: 66,862.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,588 : 32,284 = 32,284 : x
  2. Step 2: Convert to fraction form
    15,588/32,284 = 32,284/x
  3. Step 3: Cross multiply
    15,588x = 32,284 × 32,284
  4. Step 4: Simplify right side
    15,588x = 1,042,256,656
  5. Step 5: Solve for x
    x = 1,042,256,656/15,588
  6. Step 6: Final answer
    x = 66,862.76

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.