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Finding the Third Proportional to 34,776 and 74,482.88

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Solution

The third proportional to 34,776 and 74,482.88 is: 159,526.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,776 : 74,482.88 = 74,482.88 : x
  2. Step 2: Convert to fraction form
    34,776/74,482.88 = 74,482.88/x
  3. Step 3: Cross multiply
    34,776x = 74,482.88 × 74,482.88
  4. Step 4: Simplify right side
    34,776x = 5,547,698,668.27
  5. Step 5: Solve for x
    x = 5,547,698,668.27/34,776
  6. Step 6: Final answer
    x = 159,526.65

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.