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Finding the Third Proportional to 35,490 and 54,943

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Solution

The third proportional to 35,490 and 54,943 is: 85,058.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,490 : 54,943 = 54,943 : x
  2. Step 2: Convert to fraction form
    35,490/54,943 = 54,943/x
  3. Step 3: Cross multiply
    35,490x = 54,943 × 54,943
  4. Step 4: Simplify right side
    35,490x = 3,018,733,249
  5. Step 5: Solve for x
    x = 3,018,733,249/35,490
  6. Step 6: Final answer
    x = 85,058.70

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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.