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Finding the Third Proportional to 9,730.13 and 15,607.69

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Solution

The third proportional to 9,730.13 and 15,607.69 is: 25,035.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,730.13 : 15,607.69 = 15,607.69 : x
  2. Step 2: Convert to fraction form
    9,730.13/15,607.69 = 15,607.69/x
  3. Step 3: Cross multiply
    9,730.13x = 15,607.69 × 15,607.69
  4. Step 4: Simplify right side
    9,730.13x = 243,599,909.10
  5. Step 5: Solve for x
    x = 243,599,909.10/9,730.13
  6. Step 6: Final answer
    x = 25,035.64

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.