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Finding the Third Proportional to 29,364 and 45,486

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Solution

The third proportional to 29,364 and 45,486 is: 70,459.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,364 : 45,486 = 45,486 : x
  2. Step 2: Convert to fraction form
    29,364/45,486 = 45,486/x
  3. Step 3: Cross multiply
    29,364x = 45,486 × 45,486
  4. Step 4: Simplify right side
    29,364x = 2,068,976,196
  5. Step 5: Solve for x
    x = 2,068,976,196/29,364
  6. Step 6: Final answer
    x = 70,459.62

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.