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Finding the Third Proportional to 25,923.75 and 56,776

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Solution

The third proportional to 25,923.75 and 56,776 is: 124,345.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,923.75 : 56,776 = 56,776 : x
  2. Step 2: Convert to fraction form
    25,923.75/56,776 = 56,776/x
  3. Step 3: Cross multiply
    25,923.75x = 56,776 × 56,776
  4. Step 4: Simplify right side
    25,923.75x = 3,223,514,176
  5. Step 5: Solve for x
    x = 3,223,514,176/25,923.75
  6. Step 6: Final answer
    x = 124,345.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.