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Finding the Third Proportional to 27,421 and 59,877.50

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Solution

The third proportional to 27,421 and 59,877.50 is: 130,750.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,421 : 59,877.50 = 59,877.50 : x
  2. Step 2: Convert to fraction form
    27,421/59,877.50 = 59,877.50/x
  3. Step 3: Cross multiply
    27,421x = 59,877.50 × 59,877.50
  4. Step 4: Simplify right side
    27,421x = 3,585,315,006.25
  5. Step 5: Solve for x
    x = 3,585,315,006.25/27,421
  6. Step 6: Final answer
    x = 130,750.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.