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Finding the Third Proportional to 45,937.13 and 67,083.19

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Solution

The third proportional to 45,937.13 and 67,083.19 is: 97,963.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,937.13 : 67,083.19 = 67,083.19 : x
  2. Step 2: Convert to fraction form
    45,937.13/67,083.19 = 67,083.19/x
  3. Step 3: Cross multiply
    45,937.13x = 67,083.19 × 67,083.19
  4. Step 4: Simplify right side
    45,937.13x = 4,500,154,045.16
  5. Step 5: Solve for x
    x = 4,500,154,045.16/45,937.13
  6. Step 6: Final answer
    x = 97,963.34

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.