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Finding the Third Proportional to 10,598.63 and 22,943.25

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Solution

The third proportional to 10,598.63 and 22,943.25 is: 49,666.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,598.63 : 22,943.25 = 22,943.25 : x
  2. Step 2: Convert to fraction form
    10,598.63/22,943.25 = 22,943.25/x
  3. Step 3: Cross multiply
    10,598.63x = 22,943.25 × 22,943.25
  4. Step 4: Simplify right side
    10,598.63x = 526,392,720.56
  5. Step 5: Solve for x
    x = 526,392,720.56/10,598.63
  6. Step 6: Final answer
    x = 49,666.13

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.