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Finding the Third Proportional to 25,312.50 and 55,390.50

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Solution

The third proportional to 25,312.50 and 55,390.50 is: 121,209.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,312.50 : 55,390.50 = 55,390.50 : x
  2. Step 2: Convert to fraction form
    25,312.50/55,390.50 = 55,390.50/x
  3. Step 3: Cross multiply
    25,312.50x = 55,390.50 × 55,390.50
  4. Step 4: Simplify right side
    25,312.50x = 3,068,107,490.25
  5. Step 5: Solve for x
    x = 3,068,107,490.25/25,312.50
  6. Step 6: Final answer
    x = 121,209.18

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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.