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Finding the Third Proportional to 4,465.31 and 9,699.38

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Solution

The third proportional to 4,465.31 and 9,699.38 is: 21,068.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,465.31 : 9,699.38 = 9,699.38 : x
  2. Step 2: Convert to fraction form
    4,465.31/9,699.38 = 9,699.38/x
  3. Step 3: Cross multiply
    4,465.31x = 9,699.38 × 9,699.38
  4. Step 4: Simplify right side
    4,465.31x = 94,077,875.39
  5. Step 5: Solve for x
    x = 94,077,875.39/4,465.31
  6. Step 6: Final answer
    x = 21,068.60

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.