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Finding the Third Proportional to 29,457 and 45,510

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Solution

The third proportional to 29,457 and 45,510 is: 70,311.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,457 : 45,510 = 45,510 : x
  2. Step 2: Convert to fraction form
    29,457/45,510 = 45,510/x
  3. Step 3: Cross multiply
    29,457x = 45,510 × 45,510
  4. Step 4: Simplify right side
    29,457x = 2,071,160,100
  5. Step 5: Solve for x
    x = 2,071,160,100/29,457
  6. Step 6: Final answer
    x = 70,311.30

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.