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Finding the Third Proportional to 7,718.63 and 12,337.31

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Solution

The third proportional to 7,718.63 and 12,337.31 is: 19,719.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,718.63 : 12,337.31 = 12,337.31 : x
  2. Step 2: Convert to fraction form
    7,718.63/12,337.31 = 12,337.31/x
  3. Step 3: Cross multiply
    7,718.63x = 12,337.31 × 12,337.31
  4. Step 4: Simplify right side
    7,718.63x = 152,209,279.72
  5. Step 5: Solve for x
    x = 152,209,279.72/7,718.63
  6. Step 6: Final answer
    x = 19,719.74

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.