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Finding the Third Proportional to 44,095.13 and 68,297.63

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Solution

The third proportional to 44,095.13 and 68,297.63 is: 105,784.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,095.13 : 68,297.63 = 68,297.63 : x
  2. Step 2: Convert to fraction form
    44,095.13/68,297.63 = 68,297.63/x
  3. Step 3: Cross multiply
    44,095.13x = 68,297.63 × 68,297.63
  4. Step 4: Simplify right side
    44,095.13x = 4,664,565,580.64
  5. Step 5: Solve for x
    x = 4,664,565,580.64/44,095.13
  6. Step 6: Final answer
    x = 105,784.16

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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.