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Finding the Third Proportional to 29,316 and 45,422

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Solution

The third proportional to 29,316 and 45,422 is: 70,376.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,316 : 45,422 = 45,422 : x
  2. Step 2: Convert to fraction form
    29,316/45,422 = 45,422/x
  3. Step 3: Cross multiply
    29,316x = 45,422 × 45,422
  4. Step 4: Simplify right side
    29,316x = 2,063,158,084
  5. Step 5: Solve for x
    x = 2,063,158,084/29,316
  6. Step 6: Final answer
    x = 70,376.52

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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.