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Finding the Third Proportional to 10,714.78 and 12,598.03

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Solution

The third proportional to 10,714.78 and 12,598.03 is: 14,812.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,714.78 : 12,598.03 = 12,598.03 : x
  2. Step 2: Convert to fraction form
    10,714.78/12,598.03 = 12,598.03/x
  3. Step 3: Cross multiply
    10,714.78x = 12,598.03 × 12,598.03
  4. Step 4: Simplify right side
    10,714.78x = 158,710,391.38
  5. Step 5: Solve for x
    x = 158,710,391.38/10,714.78
  6. Step 6: Final answer
    x = 14,812.28

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These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.