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Finding the Third Proportional to 10,655.30 and 15,983.16

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Solution

The third proportional to 10,655.30 and 15,983.16 is: 23,975.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,655.30 : 15,983.16 = 15,983.16 : x
  2. Step 2: Convert to fraction form
    10,655.30/15,983.16 = 15,983.16/x
  3. Step 3: Cross multiply
    10,655.30x = 15,983.16 × 15,983.16
  4. Step 4: Simplify right side
    10,655.30x = 255,461,283.71
  5. Step 5: Solve for x
    x = 255,461,283.71/10,655.30
  6. Step 6: Final answer
    x = 23,975.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.