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Finding the Third Proportional to 9,971.02 and 15,437.30

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Solution

The third proportional to 9,971.02 and 15,437.30 is: 23,900.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,971.02 : 15,437.30 = 15,437.30 : x
  2. Step 2: Convert to fraction form
    9,971.02/15,437.30 = 15,437.30/x
  3. Step 3: Cross multiply
    9,971.02x = 15,437.30 × 15,437.30
  4. Step 4: Simplify right side
    9,971.02x = 238,310,134.81
  5. Step 5: Solve for x
    x = 238,310,134.81/9,971.02
  6. Step 6: Final answer
    x = 23,900.29

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.