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Finding the Third Proportional to 15,070 and 32,462

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Solution

The third proportional to 15,070 and 32,462 is: 69,925.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,070 : 32,462 = 32,462 : x
  2. Step 2: Convert to fraction form
    15,070/32,462 = 32,462/x
  3. Step 3: Cross multiply
    15,070x = 32,462 × 32,462
  4. Step 4: Simplify right side
    15,070x = 1,053,781,444
  5. Step 5: Solve for x
    x = 1,053,781,444/15,070
  6. Step 6: Final answer
    x = 69,925.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.