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Finding the Third Proportional to 26,607 and 38,740.50

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Solution

The third proportional to 26,607 and 38,740.50 is: 56,407.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,607 : 38,740.50 = 38,740.50 : x
  2. Step 2: Convert to fraction form
    26,607/38,740.50 = 38,740.50/x
  3. Step 3: Cross multiply
    26,607x = 38,740.50 × 38,740.50
  4. Step 4: Simplify right side
    26,607x = 1,500,826,340.25
  5. Step 5: Solve for x
    x = 1,500,826,340.25/26,607
  6. Step 6: Final answer
    x = 56,407.20

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.