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Finding the Third Proportional to 7,118.19 and 15,465.62

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Solution

The third proportional to 7,118.19 and 15,465.62 is: 33,602.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,118.19 : 15,465.62 = 15,465.62 : x
  2. Step 2: Convert to fraction form
    7,118.19/15,465.62 = 15,465.62/x
  3. Step 3: Cross multiply
    7,118.19x = 15,465.62 × 15,465.62
  4. Step 4: Simplify right side
    7,118.19x = 239,185,435.82
  5. Step 5: Solve for x
    x = 239,185,435.82/7,118.19
  6. Step 6: Final answer
    x = 33,602.00

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Why These Related Problems?

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