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Finding the Third Proportional to 7,094.46 and 15,432.40

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Solution

The third proportional to 7,094.46 and 15,432.40 is: 33,569.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,094.46 : 15,432.40 = 15,432.40 : x
  2. Step 2: Convert to fraction form
    7,094.46/15,432.40 = 15,432.40/x
  3. Step 3: Cross multiply
    7,094.46x = 15,432.40 × 15,432.40
  4. Step 4: Simplify right side
    7,094.46x = 238,158,921.53
  5. Step 5: Solve for x
    x = 238,158,921.53/7,094.46
  6. Step 6: Final answer
    x = 33,569.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.