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Finding the Third Proportional to 24,808.50 and 42,403.50

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Solution

The third proportional to 24,808.50 and 42,403.50 is: 72,477.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,808.50 : 42,403.50 = 42,403.50 : x
  2. Step 2: Convert to fraction form
    24,808.50/42,403.50 = 42,403.50/x
  3. Step 3: Cross multiply
    24,808.50x = 42,403.50 × 42,403.50
  4. Step 4: Simplify right side
    24,808.50x = 1,798,056,812.25
  5. Step 5: Solve for x
    x = 1,798,056,812.25/24,808.50
  6. Step 6: Final answer
    x = 72,477.45

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Why These Related Problems?

These problems maintain the same ratio (1.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.