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Finding the Third Proportional to 23,339.63 and 35,026.50

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Solution

The third proportional to 23,339.63 and 35,026.50 is: 52,565.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,339.63 : 35,026.50 = 35,026.50 : x
  2. Step 2: Convert to fraction form
    23,339.63/35,026.50 = 35,026.50/x
  3. Step 3: Cross multiply
    23,339.63x = 35,026.50 × 35,026.50
  4. Step 4: Simplify right side
    23,339.63x = 1,226,855,702.25
  5. Step 5: Solve for x
    x = 1,226,855,702.25/23,339.63
  6. Step 6: Final answer
    x = 52,565.36

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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.