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Finding the Third Proportional to 15,320 and 35,432

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Solution

The third proportional to 15,320 and 35,432 is: 81,946.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,320 : 35,432 = 35,432 : x
  2. Step 2: Convert to fraction form
    15,320/35,432 = 35,432/x
  3. Step 3: Cross multiply
    15,320x = 35,432 × 35,432
  4. Step 4: Simplify right side
    15,320x = 1,255,426,624
  5. Step 5: Solve for x
    x = 1,255,426,624/15,320
  6. Step 6: Final answer
    x = 81,946.91

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.