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Finding the Third Proportional to 22,836 and 30,547.50

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Solution

The third proportional to 22,836 and 30,547.50 is: 40,863.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,836 : 30,547.50 = 30,547.50 : x
  2. Step 2: Convert to fraction form
    22,836/30,547.50 = 30,547.50/x
  3. Step 3: Cross multiply
    22,836x = 30,547.50 × 30,547.50
  4. Step 4: Simplify right side
    22,836x = 933,149,756.25
  5. Step 5: Solve for x
    x = 933,149,756.25/22,836
  6. Step 6: Final answer
    x = 40,863.10

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.