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Finding the Third Proportional to 6,158.53 and 13,547.53

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Solution

The third proportional to 6,158.53 and 13,547.53 is: 29,801.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,158.53 : 13,547.53 = 13,547.53 : x
  2. Step 2: Convert to fraction form
    6,158.53/13,547.53 = 13,547.53/x
  3. Step 3: Cross multiply
    6,158.53x = 13,547.53 × 13,547.53
  4. Step 4: Simplify right side
    6,158.53x = 183,535,602.97
  5. Step 5: Solve for x
    x = 183,535,602.97/6,158.53
  6. Step 6: Final answer
    x = 29,801.85

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.