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Finding the Third Proportional to 2,492.65 and 4,580.93

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Solution

The third proportional to 2,492.65 and 4,580.93 is: 8,418.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,492.65 : 4,580.93 = 4,580.93 : x
  2. Step 2: Convert to fraction form
    2,492.65/4,580.93 = 4,580.93/x
  3. Step 3: Cross multiply
    2,492.65x = 4,580.93 × 4,580.93
  4. Step 4: Simplify right side
    2,492.65x = 20,984,916.80
  5. Step 5: Solve for x
    x = 20,984,916.80/2,492.65
  6. Step 6: Final answer
    x = 8,418.72

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.