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Finding the Third Proportional to 29,640 and 45,862

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Solution

The third proportional to 29,640 and 45,862 is: 70,962.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,640 : 45,862 = 45,862 : x
  2. Step 2: Convert to fraction form
    29,640/45,862 = 45,862/x
  3. Step 3: Cross multiply
    29,640x = 45,862 × 45,862
  4. Step 4: Simplify right side
    29,640x = 2,103,323,044
  5. Step 5: Solve for x
    x = 2,103,323,044/29,640
  6. Step 6: Final answer
    x = 70,962.32

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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.