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Finding the Third Proportional to 25,772.06 and 39,905.16

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Solution

The third proportional to 25,772.06 and 39,905.16 is: 61,788.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,772.06 : 39,905.16 = 39,905.16 : x
  2. Step 2: Convert to fraction form
    25,772.06/39,905.16 = 39,905.16/x
  3. Step 3: Cross multiply
    25,772.06x = 39,905.16 × 39,905.16
  4. Step 4: Simplify right side
    25,772.06x = 1,592,421,495.34
  5. Step 5: Solve for x
    x = 1,592,421,495.34/25,772.06
  6. Step 6: Final answer
    x = 61,788.67

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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.