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Finding the Third Proportional to 15,895.13 and 23,356.13

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Solution

The third proportional to 15,895.13 and 23,356.13 is: 34,319.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,895.13 : 23,356.13 = 23,356.13 : x
  2. Step 2: Convert to fraction form
    15,895.13/23,356.13 = 23,356.13/x
  3. Step 3: Cross multiply
    15,895.13x = 23,356.13 × 23,356.13
  4. Step 4: Simplify right side
    15,895.13x = 545,508,575.02
  5. Step 5: Solve for x
    x = 545,508,575.02/15,895.13
  6. Step 6: Final answer
    x = 34,319.24

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.