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Finding the Third Proportional to 7,030.86 and 10,691.53

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Solution

The third proportional to 7,030.86 and 10,691.53 is: 16,258.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,030.86 : 10,691.53 = 10,691.53 : x
  2. Step 2: Convert to fraction form
    7,030.86/10,691.53 = 10,691.53/x
  3. Step 3: Cross multiply
    7,030.86x = 10,691.53 × 10,691.53
  4. Step 4: Simplify right side
    7,030.86x = 114,308,715.18
  5. Step 5: Solve for x
    x = 114,308,715.18/7,030.86
  6. Step 6: Final answer
    x = 16,258.13

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.