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Finding the Third Proportional to 10,459.13 and 15,688.69

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Solution

The third proportional to 10,459.13 and 15,688.69 is: 23,533.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,459.13 : 15,688.69 = 15,688.69 : x
  2. Step 2: Convert to fraction form
    10,459.13/15,688.69 = 15,688.69/x
  3. Step 3: Cross multiply
    10,459.13x = 15,688.69 × 15,688.69
  4. Step 4: Simplify right side
    10,459.13x = 246,134,915.47
  5. Step 5: Solve for x
    x = 246,134,915.47/10,459.13
  6. Step 6: Final answer
    x = 23,533.03

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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.