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Finding the Third Proportional to 32,730 and 49,257

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Solution

The third proportional to 32,730 and 49,257 is: 74,129.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,730 : 49,257 = 49,257 : x
  2. Step 2: Convert to fraction form
    32,730/49,257 = 49,257/x
  3. Step 3: Cross multiply
    32,730x = 49,257 × 49,257
  4. Step 4: Simplify right side
    32,730x = 2,426,252,049
  5. Step 5: Solve for x
    x = 2,426,252,049/32,730
  6. Step 6: Final answer
    x = 74,129.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.