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Finding the Third Proportional to 1,063.13 and 2,300.63

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Solution

The third proportional to 1,063.13 and 2,300.63 is: 4,978.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,063.13 : 2,300.63 = 2,300.63 : x
  2. Step 2: Convert to fraction form
    1,063.13/2,300.63 = 2,300.63/x
  3. Step 3: Cross multiply
    1,063.13x = 2,300.63 × 2,300.63
  4. Step 4: Simplify right side
    1,063.13x = 5,292,875.39
  5. Step 5: Solve for x
    x = 5,292,875.39/1,063.13
  6. Step 6: Final answer
    x = 4,978.60

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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.