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Finding the Third Proportional to 914.63 and 2,210.63

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Solution

The third proportional to 914.63 and 2,210.63 is: 5,343.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.63 : 2,210.63 = 2,210.63 : x
  2. Step 2: Convert to fraction form
    914.63/2,210.63 = 2,210.63/x
  3. Step 3: Cross multiply
    914.63x = 2,210.63 × 2,210.63
  4. Step 4: Simplify right side
    914.63x = 4,886,862.89
  5. Step 5: Solve for x
    x = 4,886,862.89/914.63
  6. Step 6: Final answer
    x = 5,343.02

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.