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Finding the Third Proportional to 29,302 and 45,411

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Solution

The third proportional to 29,302 and 45,411 is: 70,376.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,302 : 45,411 = 45,411 : x
  2. Step 2: Convert to fraction form
    29,302/45,411 = 45,411/x
  3. Step 3: Cross multiply
    29,302x = 45,411 × 45,411
  4. Step 4: Simplify right side
    29,302x = 2,062,158,921
  5. Step 5: Solve for x
    x = 2,062,158,921/29,302
  6. Step 6: Final answer
    x = 70,376.05

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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.