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Finding the Third Proportional to 32,203 and 48,547.50

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Solution

The third proportional to 32,203 and 48,547.50 is: 73,187.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,203 : 48,547.50 = 48,547.50 : x
  2. Step 2: Convert to fraction form
    32,203/48,547.50 = 48,547.50/x
  3. Step 3: Cross multiply
    32,203x = 48,547.50 × 48,547.50
  4. Step 4: Simplify right side
    32,203x = 2,356,859,756.25
  5. Step 5: Solve for x
    x = 2,356,859,756.25/32,203
  6. Step 6: Final answer
    x = 73,187.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.