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Finding the Third Proportional to 27,423 and 40,095.19

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Solution

The third proportional to 27,423 and 40,095.19 is: 58,623.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,423 : 40,095.19 = 40,095.19 : x
  2. Step 2: Convert to fraction form
    27,423/40,095.19 = 40,095.19/x
  3. Step 3: Cross multiply
    27,423x = 40,095.19 × 40,095.19
  4. Step 4: Simplify right side
    27,423x = 1,607,624,060.66
  5. Step 5: Solve for x
    x = 1,607,624,060.66/27,423
  6. Step 6: Final answer
    x = 58,623.20

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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.