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Finding the Third Proportional to 25,854.19 and 39,533.06

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Solution

The third proportional to 25,854.19 and 39,533.06 is: 60,449.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,854.19 : 39,533.06 = 39,533.06 : x
  2. Step 2: Convert to fraction form
    25,854.19/39,533.06 = 39,533.06/x
  3. Step 3: Cross multiply
    25,854.19x = 39,533.06 × 39,533.06
  4. Step 4: Simplify right side
    25,854.19x = 1,562,863,030.63
  5. Step 5: Solve for x
    x = 1,562,863,030.63/25,854.19
  6. Step 6: Final answer
    x = 60,449.13

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.