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Finding the Third Proportional to 6,358.50 and 9,897.19

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Solution

The third proportional to 6,358.50 and 9,897.19 is: 15,405.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,358.50 : 9,897.19 = 9,897.19 : x
  2. Step 2: Convert to fraction form
    6,358.50/9,897.19 = 9,897.19/x
  3. Step 3: Cross multiply
    6,358.50x = 9,897.19 × 9,897.19
  4. Step 4: Simplify right side
    6,358.50x = 97,954,320.41
  5. Step 5: Solve for x
    x = 97,954,320.41/6,358.50
  6. Step 6: Final answer
    x = 15,405.26

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.