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Finding the Third Proportional to 7,152.47 and 14,506.59

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Solution

The third proportional to 7,152.47 and 14,506.59 is: 29,422.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,152.47 : 14,506.59 = 14,506.59 : x
  2. Step 2: Convert to fraction form
    7,152.47/14,506.59 = 14,506.59/x
  3. Step 3: Cross multiply
    7,152.47x = 14,506.59 × 14,506.59
  4. Step 4: Simplify right side
    7,152.47x = 210,441,262.23
  5. Step 5: Solve for x
    x = 210,441,262.23/7,152.47
  6. Step 6: Final answer
    x = 29,422.19

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.