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Finding the Third Proportional to 29,490 and 45,663

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Solution

The third proportional to 29,490 and 45,663 is: 70,705.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,490 : 45,663 = 45,663 : x
  2. Step 2: Convert to fraction form
    29,490/45,663 = 45,663/x
  3. Step 3: Cross multiply
    29,490x = 45,663 × 45,663
  4. Step 4: Simplify right side
    29,490x = 2,085,109,569
  5. Step 5: Solve for x
    x = 2,085,109,569/29,490
  6. Step 6: Final answer
    x = 70,705.65

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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.