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Finding the Third Proportional to 6,985.13 and 15,097.50

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Solution

The third proportional to 6,985.13 and 15,097.50 is: 32,631.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,985.13 : 15,097.50 = 15,097.50 : x
  2. Step 2: Convert to fraction form
    6,985.13/15,097.50 = 15,097.50/x
  3. Step 3: Cross multiply
    6,985.13x = 15,097.50 × 15,097.50
  4. Step 4: Simplify right side
    6,985.13x = 227,934,506.25
  5. Step 5: Solve for x
    x = 227,934,506.25/6,985.13
  6. Step 6: Final answer
    x = 32,631.41

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.