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Finding the Third Proportional to 44,700 and 61,560

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Solution

The third proportional to 44,700 and 61,560 is: 84,779.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,700 : 61,560 = 61,560 : x
  2. Step 2: Convert to fraction form
    44,700/61,560 = 61,560/x
  3. Step 3: Cross multiply
    44,700x = 61,560 × 61,560
  4. Step 4: Simplify right side
    44,700x = 3,789,633,600
  5. Step 5: Solve for x
    x = 3,789,633,600/44,700
  6. Step 6: Final answer
    x = 84,779.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.