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Finding the Third Proportional to 29,246 and 43,502

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Solution

The third proportional to 29,246 and 43,502 is: 64,707.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,246 : 43,502 = 43,502 : x
  2. Step 2: Convert to fraction form
    29,246/43,502 = 43,502/x
  3. Step 3: Cross multiply
    29,246x = 43,502 × 43,502
  4. Step 4: Simplify right side
    29,246x = 1,892,424,004
  5. Step 5: Solve for x
    x = 1,892,424,004/29,246
  6. Step 6: Final answer
    x = 64,707.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.