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Finding the Third Proportional to 1,810.13 and 4,714.31

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Solution

The third proportional to 1,810.13 and 4,714.31 is: 12,278.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,810.13 : 4,714.31 = 4,714.31 : x
  2. Step 2: Convert to fraction form
    1,810.13/4,714.31 = 4,714.31/x
  3. Step 3: Cross multiply
    1,810.13x = 4,714.31 × 4,714.31
  4. Step 4: Simplify right side
    1,810.13x = 22,224,742.35
  5. Step 5: Solve for x
    x = 22,224,742.35/1,810.13
  6. Step 6: Final answer
    x = 12,278.02

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These problems maintain the same ratio (2.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.