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Finding the Third Proportional to 15,459.75 and 29,688.75

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Solution

The third proportional to 15,459.75 and 29,688.75 is: 57,013.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,459.75 : 29,688.75 = 29,688.75 : x
  2. Step 2: Convert to fraction form
    15,459.75/29,688.75 = 29,688.75/x
  3. Step 3: Cross multiply
    15,459.75x = 29,688.75 × 29,688.75
  4. Step 4: Simplify right side
    15,459.75x = 881,421,876.56
  5. Step 5: Solve for x
    x = 881,421,876.56/15,459.75
  6. Step 6: Final answer
    x = 57,013.98

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.