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Finding the Third Proportional to 53,013 and 77,929.50

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Solution

The third proportional to 53,013 and 77,929.50 is: 114,556.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,013 : 77,929.50 = 77,929.50 : x
  2. Step 2: Convert to fraction form
    53,013/77,929.50 = 77,929.50/x
  3. Step 3: Cross multiply
    53,013x = 77,929.50 × 77,929.50
  4. Step 4: Simplify right side
    53,013x = 6,073,006,970.25
  5. Step 5: Solve for x
    x = 6,073,006,970.25/53,013
  6. Step 6: Final answer
    x = 114,556.94

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.