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Finding the Third Proportional to 29,304 and 45,410

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Solution

The third proportional to 29,304 and 45,410 is: 70,368.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,304 : 45,410 = 45,410 : x
  2. Step 2: Convert to fraction form
    29,304/45,410 = 45,410/x
  3. Step 3: Cross multiply
    29,304x = 45,410 × 45,410
  4. Step 4: Simplify right side
    29,304x = 2,062,068,100
  5. Step 5: Solve for x
    x = 2,062,068,100/29,304
  6. Step 6: Final answer
    x = 70,368.14

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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.