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Finding the Third Proportional to 7,700.06 and 14,200.31

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Solution

The third proportional to 7,700.06 and 14,200.31 is: 26,187.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,700.06 : 14,200.31 = 14,200.31 : x
  2. Step 2: Convert to fraction form
    7,700.06/14,200.31 = 14,200.31/x
  3. Step 3: Cross multiply
    7,700.06x = 14,200.31 × 14,200.31
  4. Step 4: Simplify right side
    7,700.06x = 201,648,875.10
  5. Step 5: Solve for x
    x = 201,648,875.10/7,700.06
  6. Step 6: Final answer
    x = 26,187.95

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These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.