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Finding the Third Proportional to 15,302.59 and 23,645.87

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Solution

The third proportional to 15,302.59 and 23,645.87 is: 36,538.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,302.59 : 23,645.87 = 23,645.87 : x
  2. Step 2: Convert to fraction form
    15,302.59/23,645.87 = 23,645.87/x
  3. Step 3: Cross multiply
    15,302.59x = 23,645.87 × 23,645.87
  4. Step 4: Simplify right side
    15,302.59x = 559,127,150.51
  5. Step 5: Solve for x
    x = 559,127,150.51/15,302.59
  6. Step 6: Final answer
    x = 36,538.07

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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.