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Finding the Third Proportional to 25,870.50 and 55,432.13

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Solution

The third proportional to 25,870.50 and 55,432.13 is: 118,773.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,870.50 : 55,432.13 = 55,432.13 : x
  2. Step 2: Convert to fraction form
    25,870.50/55,432.13 = 55,432.13/x
  3. Step 3: Cross multiply
    25,870.50x = 55,432.13 × 55,432.13
  4. Step 4: Simplify right side
    25,870.50x = 3,072,720,482.02
  5. Step 5: Solve for x
    x = 3,072,720,482.02/25,870.50
  6. Step 6: Final answer
    x = 118,773.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.