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Finding the Third Proportional to 24,485.50 and 53,585

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Solution

The third proportional to 24,485.50 and 53,585 is: 117,267.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,485.50 : 53,585 = 53,585 : x
  2. Step 2: Convert to fraction form
    24,485.50/53,585 = 53,585/x
  3. Step 3: Cross multiply
    24,485.50x = 53,585 × 53,585
  4. Step 4: Simplify right side
    24,485.50x = 2,871,352,225
  5. Step 5: Solve for x
    x = 2,871,352,225/24,485.50
  6. Step 6: Final answer
    x = 117,267.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.