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Finding the Third Proportional to 12,313.88 and 19,048.13

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Solution

The third proportional to 12,313.88 and 19,048.13 is: 29,465.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,313.88 : 19,048.13 = 19,048.13 : x
  2. Step 2: Convert to fraction form
    12,313.88/19,048.13 = 19,048.13/x
  3. Step 3: Cross multiply
    12,313.88x = 19,048.13 × 19,048.13
  4. Step 4: Simplify right side
    12,313.88x = 362,831,066.02
  5. Step 5: Solve for x
    x = 362,831,066.02/12,313.88
  6. Step 6: Final answer
    x = 29,465.22

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.