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Finding the Third Proportional to 27,030 and 56,776

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Solution

The third proportional to 27,030 and 56,776 is: 119,256.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,030 : 56,776 = 56,776 : x
  2. Step 2: Convert to fraction form
    27,030/56,776 = 56,776/x
  3. Step 3: Cross multiply
    27,030x = 56,776 × 56,776
  4. Step 4: Simplify right side
    27,030x = 3,223,514,176
  5. Step 5: Solve for x
    x = 3,223,514,176/27,030
  6. Step 6: Final answer
    x = 119,256.91

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.