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Finding the Third Proportional to 6,854.63 and 14,948.72

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Solution

The third proportional to 6,854.63 and 14,948.72 is: 32,600.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,854.63 : 14,948.72 = 14,948.72 : x
  2. Step 2: Convert to fraction form
    6,854.63/14,948.72 = 14,948.72/x
  3. Step 3: Cross multiply
    6,854.63x = 14,948.72 × 14,948.72
  4. Step 4: Simplify right side
    6,854.63x = 223,464,192.27
  5. Step 5: Solve for x
    x = 223,464,192.27/6,854.63
  6. Step 6: Final answer
    x = 32,600.50

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.