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Finding the Third Proportional to 29,196 and 45,156.38

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Solution

The third proportional to 29,196 and 45,156.38 is: 69,841.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,196 : 45,156.38 = 45,156.38 : x
  2. Step 2: Convert to fraction form
    29,196/45,156.38 = 45,156.38/x
  3. Step 3: Cross multiply
    29,196x = 45,156.38 × 45,156.38
  4. Step 4: Simplify right side
    29,196x = 2,039,098,203.14
  5. Step 5: Solve for x
    x = 2,039,098,203.14/29,196
  6. Step 6: Final answer
    x = 69,841.70

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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.